{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "77c73f31",
   "metadata": {},
   "source": [
    "目前的量化策略主要可以分为两大类：均值回归和趋势跟随。在使用均值回归类策略的时候，要求时间序列是平稳的。这里的平稳可以理解为价格的均值是与时间无关的，即不同时点的分布中，变量都是围绕同一个值波动的。"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "991f1086",
   "metadata": {},
   "source": [
    "### 1. ADF检验\n",
    "判断数据是否平稳常用的统计检验方法就是ADF检验，也叫做单位根检验。单位根检验是指检验序列中是否存在单位根，存在单位根就是非平稳时间序列，否则就是平稳的。原因涉及数据推论，不展开，[可以参考这里](https://zhuanlan.zhihu.com/p/652229829).\n",
    "那怎么进行ADF检验呢？可以将这两个假设作为初始假设：\n",
    "\n",
    "- 零假设(H0)\n",
    "    - 时间序列是不平稳的(存在单位根)\n",
    "- 备择假设(H1)\n",
    "    - 时间序列是平稳的(不存在单位根)\n",
    "为了对进一步理解上述过程，选取数据进行测试。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "ba0bd5ca",
   "metadata": {},
   "outputs": [],
   "source": [
    "from __future__ import print_function\n",
    "# Import the Time Series library\n",
    "import statsmodels.tsa.stattools as ts\n",
    "# Import Datetime and the Pandas DataReader\n",
    "from datetime import datetime \n",
    "import pandas_datareader.data as web\n",
    "from matplotlib import pyplot as plt\n",
    "import numpy as np\n",
    "import mplfinance as mpf"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "a7714106",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 1.1 首先使用python生成真正的平稳序列进行结果说明，使用numpy 生成\n",
    "y = np.random.standard_normal(size=200)\n",
    "# 画图展示更直观\n",
    "plt.plot(y)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "2aaff152",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(-14.169534987878377,\n",
       " 2.0145744418637853e-26,\n",
       " 0,\n",
       " 199,\n",
       " {'1%': -3.4636447617687436,\n",
       "  '5%': -2.8761761179270766,\n",
       "  '10%': -2.57457158581854},\n",
       " 530.933646616362)"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Output the results of the Augmented Dickey-Fuller test a lag order value of 1\n",
    "ts.adfuller(y, 1)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f986f8f1",
   "metadata": {},
   "source": [
    "结果中，第一个是adt检验的结果，简称为T值，表示t统计量；\n",
    "第二个简称为p值，表示t统计量对应的概率值，p值越小，说明越可能是平稳的时间序列；\n",
    "第三个表示延迟值；\n",
    "第四个表示测试的次数；\n",
    "第五个配合第一个一起看，是在99%，95%，90%置信区间下的临界的ADF检验的值\n",
    "-15.334491495290056比3个检验值1%，5%，10%都要小，所以拒绝原假设H0，即数据是平稳的，和预期一致。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "d1b63f3f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 1.2 下面对y值进行修改，使其成为假的平稳序列\n",
    "for i in range(1, len(y)):\n",
    "    y[i] = 1 + 0.1*i + y[i]\n",
    "# 画图展示更直观\n",
    "plt.plot(y)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "dd24a9c8",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(-1.2435971772358922,\n",
       " 0.6545659352168965,\n",
       " 1,\n",
       " 198,\n",
       " {'1%': -3.4638151713286316,\n",
       "  '5%': -2.876250632135043,\n",
       "  '10%': -2.574611347821651},\n",
       " 611.4540006625357)"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Output the results of the Augmented Dickey-Fuller test a lag order value of 1\n",
    "ts.adfuller(y, 1)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e515b35c",
   "metadata": {},
   "source": [
    "-0.8572801093306679比3个检验值1%，5%，10%都要大，所以无法拒绝原假设H0，即数据是非平稳的"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "46611e7d",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "           日期   开盘价   最高价   最低价   收盘价      成交量      持仓量  动态结算价\n",
      "0  2023-01-03  4100  4100  4016  4063  1245821  1882723   4044\n",
      "1  2023-01-04  4061  4084  4010  4027  1383006  1874643   4045\n",
      "2  2023-01-05  4015  4024  3970  4017  1522301  1825776   4001\n"
     ]
    }
   ],
   "source": [
    "# 1.3 最后使用 螺纹钢的收盘价进行检验\n",
    "import akshare as ak\n",
    "rb0_df = ak.futures_main_sina(symbol=\"RB0\", start_date=\"20230101\", end_date=\"20230901\")\n",
    "print(rb0_df[:3])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "cbe2dd99",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7fc7edb10040>]"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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wh6iqqvJ6ncViwf3334+UlBQYDAasXLkSFRUVXsc0NzejqKgIRqMRRqMRRUVFaGlpGczlUhiRMxVjEvoPYub2EcQcqW4FAEwf03uZSF76PCsIk3o9yZmYlFi9kuHJdAVlXKFERDT0BhzE7Nq1C2+++SZmzpypPNbR0YE9e/bgl7/8Jfbs2YMPPvgAx48fx8qVK71eu3r1aqxfvx7FxcXYsmUL2trasGLFCjgc7t1/b7vtNpSVlaGkpAQlJSUoKytDUVHRQC+XwkyVn+UkAMoQueO1bWjpsHo9d1gOYvrodXlw6WR8b04Wrp89dqCX65PcEyOXkgBpCwUAqGYQQ0Q05AbUINDW1oZVq1Zh7dq1+O1vf6s8bjQasWHDBq9jX3nlFcyfPx/nz59HTk4OTCYT3n77bbz77rtYunQpAGDdunXIzs7Gxo0bceWVV+LIkSMoKSnB9u3bsWDBAgDA2rVrUVhYiGPHjiEvL2+g9zvidVjtiNaqlSXG4aqmteeMmN4kx+oxIdWA0/Xt2H22GUunpyvPyZmYaWPiens5Fk1MwaKJKb0+P1BymUoerAe4l4uznERENPQGlIm59957cc011yhBSF9MJhMEQUBCQgIAoLS0FDabDcuWLVOOyczMRH5+PrZu3QoA2LZtG4xGoxLAAMDChQthNBqVY7qzWCxobW31+hhtjlS3Ys5/bMS/fXgw1JfSL7mxN8OPIAYA5sslpXPuklKXzYFT9dKE3uljglsq8seNF2bhP67Px0NLpyiPsZxERDR8Ag5iiouLsWfPHqxZs6bfY7u6uvD444/jtttuQ3y8lO6vqamBTqdDYmKi17Hp6emoqalRjklLS+txvrS0NOWY7tasWaP0zxiNRmRn92zyHElqTF04WGnyeuy9HefQaXPg6xP1Iboq/4iiqDT2ZvpRTgI8+mI8ViidqG2DwykiMUaL9Hh98C+0Hwa9BkULc5EW7w7E5HJSbWvXgPZ+IiIi/wUUxJSXl+PBBx/EunXrEBXV92/QNpsNt9xyC5xOJ/7whz/0e25RFL1KIL7KId2P8fTEE0/AZDIpH+Xl5f1+zUj2L3/ciZWvbkHpuWYAgM3hxN/3VwOQ+k1sDmcoL69Ppk4bOm1S/1OgmZgDlSZ0uV57uFoK4qZnxodN+SwtTg+VANgcIhraLKG+HCKiES2gIKa0tBR1dXWYM2cONBoNNBoNNm/ejJdffhkajUZpzLXZbLjppptw5swZbNiwQcnCAEBGRgasViuam5u9zl1XV4f09HTlmNra2h5fv76+XjmmO71ej/j4eK+PkaqypRNHa8xwisDrm08BAL4+Xo/mDhsAwOEUw3onZTkLk2TQ9TrorrvspGikxelhc4goK28BABypNgMApmWEz9+1Rq1SmpXlzSiJiGhoBBTELFmyBAcOHEBZWZnyMXfuXKxatQplZWVQq9VKAHPixAls3LgRycnJXueYM2cOtFqtVwNwdXU1Dh48iEWLFgEACgsLYTKZsHPnTuWYHTt2wGQyKceMZttPNSr/v+FwLU7WteHDMu9l7OebOob7svxW7WPjx/4IgoD546VsTIlrR+rDVf2vTAoFeSrwgW7lPiIiCq6AVifFxcUhPz/f6zGDwYDk5GTk5+fDbrfje9/7Hvbs2YNPP/0UDodD6WFJSkqCTqeD0WjEHXfcgYcffhjJyclISkrCI488goKCAqVReNq0aVi+fDnuvPNOvPHGGwCAu+66CytWrODKJADbXDsyqwRpY8OXvjyBDYelP+cxxihUm7rCPIjxf9Cdp5vnZePT/dV4f1c5Hlwy2WNlUngFMTOzjPjicC32VzCIISIaSkGd2FtRUYGPP/4YFRUVuOCCCzBmzBjlw3NV0QsvvIDrr78eN910Ey666CLExMTgk08+gVrtLi289957KCgowLJly7Bs2TLMnDkT7777bjAvN2JtdwUx931nEgDgk31V6LI5MT7FgGWu5cfnmsK3lFHeJGdi/GvqlS2elILpY+LRaXPg6c+OwmyxQ6dWYWJqbP8vHkbyJpP7K1pCeh1ERCPdoDeS2bRpk/L/48aNgyj2vyIjKioKr7zyCl555ZVej0lKSsK6desGe3kjTnlTByqaO6FWCbjr0on49lSj0ty7clamMkW2PEwzMVa7Ex/urQQAzMpOCOi1giDgrksmYPX7ZXh/t9S4PSktFjpNeO2eUTBWWu59trEDpg4bjDHafl5BREQDEV4//alfchZmZpYRsXoN7rpkgvLc9bPHKnv4hGs56eN9Vahp7UJqnB7XzhoT8OuvmTkGYxPcGZxw64cBgESDTvl7YF8MEdHQYRATRix2Bzqtjj6P2X5ampOycILUMH3FtHT86KJxeGjpFIxPMbiDmMbwC2JEUcTar08DAH500TjoNf6tTPKkVavw48Xjlc/DrR9GVpAlZWP2V7aE9kKIiEYwBjFhwukUcfVL32DJc5tgtfc+40XOxBS6ghiVSsCvrp2BB5dOBiAtRQaA1i47TK4l1+Fi0/F6HKs1w6BTY9WC3AGf55Z52coO0jOzhn9Srz9myUFMOTMxRERDZdA9MRQcpxvalBH6VS2dGJdi6HFMeVMHKls6oVEJmJOb2ON5AIjRaZASq0dDmwXnmzpQEBM+b/JvuGba3Do/B8bogfeJGPQa/PFH83Ck2oy5vfw5hFrB2AQALCcREQ0lZmLCRJnHb+x1Zt+TXrd59MMY9L3Hn/KuyuHUF3OgwoTtp5ugUQle5aCBmpObhB8szA2bSb3d5Y+NhyBIgwmDNbn3/0orMP+pjXjz61N+NdATEY10DGLCxD7XFFoAqDP7nra784x3P0xvwrG59/3d5wEAVxeMUfYXGsniorSY4MqmHQjCvJh2ix1P/f0w6swW/O4fR3H3ulK0doVXuZCIaLgxiAmB0nNN+P7rW5WJswCwz2OmSF2r79/c5eFu/S1Nzg6zIMZid+CTfdK+Tt+fmxXiqxk+s1zzYvYFYV7Muu3n0NxhQ0qsDjq1Cp8fqsUNv/9W2UeKiGg0YhATAm9vOYNdZ5vxh00nAQBdNocSoABAvY/yg8Mp4mRdGwBgSnpcn+eXMzHhMivmyyN1MHXakBEfhUUTU0J9OcNGXqE02ExMl82Btd9Iq7oeWz4Vf727EMZoLU7Vt2P32eZ+Xk1ENHIxiAmBfa7+l03H6mGxSwGMzeHucfCViSlv6oDF7oReo1KClN7Iz4fL1N6/lVYAAG64cCzUqvDsYRkK8uTeb0814D8+PYxjNeYBned/dp5HQ5sVWYnRuH72WMzKTkCeK5Bt6bQG63KJiCIOg5hhVmfuQmWLNHa/zWLHtlONSj+M3KPqqyfmWK30BjgpLbbfQEAOYqpaumBz9L5cezjUmy3YdLweAPDdC0dPKQmQmnsnp8Wiy+bE21vO4MoXv8ZzXxwL6BwWuwNvbJayMPdcNhFatfQtK08BNnWyL4aIRi8GMcOs+9yQLw7XYp+r3HBhjrRcuN7H6qQTriCmv1ISAKTF6aHTqOBwiqhu8d0kPFw+KquEwyliVnYCJqWF1x5HQ02vUeOzBy/Gf//LXFw8WSqjfXmkLqBz/O+uctS0dmGMMQrfm+MOAuUl6gxiiGg0YxAzzOQmT3l0/obDtdh7XupruMK1eaOvJdbHa/3rhwGkAXjZidL5Q93c+3+uUtL3Lhwb0usIFY1ahcunpuOx5VMB+O536k2n1YFX/in1Td1z2USvCccMYoiIGMQMOznrcsfi8YjTa1BvtuCsa4uApdOkIKap3dpjau9xJRPjXzYjHJZZV7V04miNGRqVgGtnZYbsOsJBWpweANDYZoHD6d+Ml3e3n0Wd2YKxCdG4ZV6O13NyENPKIIaIRjEGMcNIFEWl/2XeuCRcNjVNeS4nKQYTUw3QqqV+F88BaTaHE6dd03z9ycQAQG6yNKMklEFMtUnq/ckwRiEhRhey6wgHSQYdBAFwilKQ2h9zlw2vbZImHD+4dHKPnbqZiSEiYhAzrM41dsDUaYNOo0JeRhyWucpHgDT7RRAEpMZKv7F7lpTONbbD6nAiRqf22sG5L9lhsMxaXmUlZyFGM41ahWSDFMj56nnq7r+3nEVzhw0TUgy4cXbPUhyDGCIiBjHDSu6HmZEZD51GhcvyUpXMi7xhYGp8FACgrtXdkCv3w0xOi4XKzyXK4VBOkgOxtLiokF1DOElxBaj99cW0dtnwlmsuzOorpkCj7vltyiCGiIhBzLAqc5WS5EmucVFa3DB7LKK0Kixx9cPIWQvPTIzcDzPZz1ISEB5BjJxxSItnJgYAUl1/t/1lYr490QCzxY5xyTFYUTDG5zHxDGKIiLiL9XCS+2Eu8Ng2YM2NM/Hv1+UjSiutPEntI4jJCyCIyU6Syk6mThtMHTZlrshwkufdsJwk8TeI2e7a6POSKam9Zt6UTEwHgxgiGr2YiRkmNocTB6t67n2kVglKAAO43/DrzT7KSX6uTAKAGJ1GKV+EKhvDcpI3/4MYaaPPwj42+pSDGLPF7vdqJyKikYZBzDA5VmOG1e5EfJQG45J73zZAfsOXm2ItdgfONkgrk/Iy/M/EAEBOUmhnxcj3kMpyEgD3321fPTGNbRZlOvP88Um9HicHMaIorWQiIhqNGMQMk9Jz0kA7eRVSb7r3xJxpaIfdKSJOr0FGfGAZjVD3xbgzMQxiAM9MTO9TlHeckbIweelxSI7t/c9Np1Eh2pXBY18MEY1WDGKGidznsLCPEgHgboKV+0k8S0l9BT++hDKIsTucaGxnOcmTvHy+r3KS/O+kcGLf/04ArlAiImIQMwycTtEjiOm9RAC43/Ab2qxwOEXsPCO9bkamMeCvm+MaeBeKWTGN7VaIotTzI89HGe386YnZdsq/fycAgxgiIgYxw+B4nRnNHTZEa9WY6Vpe3ZuUWGmyq8Mpoqndin+6Ngy83GO6r79CmYmR+2FSYnV+z7YZ6eQgprXLji6bo8fzDW0WnKiTMm8LxjMTQ0TUHwYxw2C767frueMSofUxuMyT52TXr4/Xo8rUhWit2q/yQndyEFPZ0gm7w9nP0cHlXl7NUpIsPkqjbB/gKxuzw7UqaWpGHBL9yF7Jy+YZxBDRaMUgZghsPdmA4p3nIYrS0tdtfvbDyFJdb/z/s/M8AOCiSSley7D9lRanh06jgsMpotrUezPpUGBTb0+e20rIK5QOV7Xi+Q3H8cWhGnx5tBaA//9OmIkhotGOw+6GwAPFZWhosyAuSour8jOUFSf+ZlPS4vQ4Ug3sdq1oWjot8FISAKhUArITo3Gqvh3nmzqU/ZSGg7K8mkGMl9Q4PSpbOpVMzL99eAB7zrd4HePvvxMGMUQ02jETE2QWu0PZgfrpkiM4UGlCS4cNMTo1Csb615zbPXsxkH4YmVxSOtc4vH0xnNbrm2dzr8XuwMFKaQCi/PeUZNAFnIlpZRBDRKMUMzFB1tRuVf6/vKkTj/x1HwBg3rikfvthZJ57Dc3KMiItwPkwnkLV3CuXk1IHce0jkWcQc6TaDKvDiSSDDpsfvQz1Zgt0GpUSnPSHmRgiGu0YxARZY5vV63N5tYm/v10D3s2wl09NH9T1yCWk4V5mzZ4Y3zx7YuS9tGZmGSEIQsDBKoMYIhrtGMQEmVxKykuPgyAAR2ukEfL+zP2Qeb7xLxlgP4ws1zUrZrgzMfWtLCf54pmJ6bJKy6xn9bPsvjcMYohotGNPTJDJmZi0eD2evGYaAOnNxt9+GAAYlyIFHlmJ0ZiRGT+o6wlFOUkURWX1zWBKYSORZxBTVtECwHtX80DEM4gholGOmZggk0ftJxt0uHhyKt764VykxOmh8bMfBgCmjYnHG0VzMD7FEPBWA91luzaBNHXaYOqwKbNFhlJLhw02h7S8PLWP/X9GIzkzdbaxHS0dUvAxMyvwacyARyamg0EMEY1ODGKCTM7EyJv3LZ0+sJ6WK2dkBOV6YnQapMTq0dBmQXlzB4wxA3vDfG3TKVjtTjywZFK/gZXcD5MYo1WGu5FEzsTIAUx2UnSfGz32RQ5izBY7HE4Rak5GJqJRhkFMkMlllJQwykDkJEWjoc2CMw3tyA+grCUrb+rAMyVHAQBJsToULczt83hO6+1d938XA+2HAdxBjCgC5i4bEmK4RxURjS78NTnI3JmY8HlDmZIeBwA45moyDtTWUw3K///208M4Wdf3eeRBd55LxUkSpVUjPsr9u8NA+2EAQKdRIdo1yZl9MUQ0GjGICTK5JyYljIKYaWOk5uAj1a0Dev23J6VtE3QaFSx2Jx74nzJY7D03MJQpM2K4Msknzz+XWYMIYgCuUCKi0Y1BTJApmRhD+LyBT3etcDo8gCBGFEVsdW1g+Z/fm4nEGC0OV7fi5S9P9PoalpP6JgcxapUw6NVnDGKIaDRjEBNEoiiGZTlpaoZUTqo2daG53drP0d5O1LWhoc0CvUaF5fkZ+NW1MwAAn+6v7vU1HHTXN3mDzynpcYjRDa4tjUEMEY1mDGKCyGyxw+pwAgivxt64KK0yLybQktLWk1I/zLxxSdBr1Er5Q97A0Jd69sT0KcP153JB9sBWinmSl8wziCGi0YhBzADZXcGKJzkLE6vXIMrVcBkupo8ZWEnpW1cpadEkadsEObvSYXWgzWL3+RqWk/p224JcfG9OFu68eMKgz8VMDBGNZgxiArTpWB0uf24Tfvrenh7PyVsOhFMpSTZtAEGMwyli+2lXEDMxBQBg0GsQo5MCNF/ZmC6bAxXNnQCkicPU0/gUA/7r+7MwITV20OdiEENEoxmDmADF6jU4Xd+OPedbIIqi13ONbe5pveFGbu49Uu3/MuuDlSaYu+yIi9Ig36MBVc7G1Ln2R/J0tMYMu1NEkkGHMUZmYoaaHMS0MogholGIQUyA8scaoVEJaGizoLKl0+u5hm7TesPJtDFSc+/JOjOs9p6lMF/kVUkLxid7bZsgl4nqfGRiDlSaAAAFY42D3jKB+sdMDBGNZgxiAhSlVSulmb3nW7yek3tiwqmpVzY2IRrxURrYHCJO1rWhztyFK57fjFvf3N4jGJPJQ+4ucvXDyDw3MezuYIU7iKGhxyCGiEYzBjEDIE9ZLStv8Xo8HAfdyQRB8OqLefofR3Girg3bTjdixcvf4Ovj9V7HO52iEqTNH5/k9ZwcxPSViRnI9gYUOAYxRDSaMYgZgNk5CQCAveebvR53D7oLvyAGcPfF/GXHOXywtxKCAExJj0Vzhw23/3EnPthToRx7uqENbRY7orQq5Lm2LZD1lonpsjlwvFbquSkY4M7MFJh4BjFENIoxiBkAORNzsKrVq7/EvTop/MpJgHuF0h5XhuWWeTn4+L7F+O6FWRBF4K1vzijHlpW7y0Ke/TCAR2Ov2bux17OpN5NNvcNCycR0MIghotGHQcwAjE8xwBithdXuxNEa95LlcF5iDbhnxQBAQowWP78yD1FaNR67Kg8AcKSmFS0dUjZpn6tU5muX5bR4KUDpnonxLCWxqXd4yEGM2WL3ObuIiGgkYxAzAIIgKNkYz+beRtdI/9QwzcRMTo+FVi0FF49emYdEV9krLS4KE1MNEEVgx5kmAMD+ihYAvjcolO+vexDjbuod3H5A5L8kgw4JMVqIojvDRkQ0WjCIGaDuzb02hxMtrpR+uJaT9Bo1nrq+AA9cPgm3zMvxeq5worQCadupRljsDmUo3gU+ghh5O4HGditsHr/9u5dX93wNDQ21SsBlU1IBAF8eqQ3x1RARDS8GMQPUvblX3lhRJQAJrhR/OLppXjZ+tiwPapV3uWfhBCmI2X66EUeqzbA5pN4WX1N3k2J0yuvlZmY29YbOkmnpAICNDGKIaJRhEDNAcobibGMHmtutyqC7JIMeKlXk9YPIQczRGjM2HasDAMzK8t3bolIJyjJyubmXTb2hc8mUVGhUAk7Vt+NsQ3uoL4eIaNgwiBmghBgdJqQYAABlFS1hPSPGHymxekxOk/by+fO2cwB898PIlKm9rh2r2dQbOsZoLeaNk2b5fHm0LsRXQ0Q0fBjEDIKcjfnmeENYT+v1l5yNaXKVxvoOYlzNva4VWWzqDa0l09IAsC+GiEYXBjGDcMV0qRfhna1n8On+agDhu7zaH3Jzr8zX8mqZMrXXlYnZ4+oNmtnHa2joLHX1xew804TWLs6MIaLRgUHMICzPz8D35mTBKbqbKpMNkZuJ8dxeICcpBkl9TB52Z2K6YOqw4URdGwBgTm7i0F4k+TQuxYAJqQbYnSI2H6vv/wVERCMAg5hBEAQBv70+32uIXCRnYlJi9ZiSLvXF9FVKAoDUeHdPjJyFGZ9iiOhyWqSTszEsKRHRaMEgZpCitGq8/oM5iI/SAAAy4iN7Zc5V+WMAAJdPTe3zOHngXZ3Zgt3npAF5F+YwCxNKiyelAAD2u5qsiYhGOk2oL2AkyEmOwbp/XYDPDtbgqoKMUF/OoNx/+SRcXTBGycj0Rh54V2+2YPdZKRMzdxyDmFDKTJBm+tS39txdnIhoJBpUJmbNmjUQBAGrV69WHhNFEb/+9a+RmZmJ6OhoXHbZZTh06JDX6ywWC+6//36kpKTAYDBg5cqVqKio8DqmubkZRUVFMBqNMBqNKCoqQktLy2Aud0jNzErAY8unIkYX2XGhRq1CXkZcv8uk0zx2st7n2qJgLvthQkoOLM0WOzqtjhBfDRHR0BtwELNr1y68+eabmDlzptfjzz77LJ5//nm8+uqr2LVrFzIyMnDFFVfAbDYrx6xevRrr169HcXExtmzZgra2NqxYsQIOh/sH72233YaysjKUlJSgpKQEZWVlKCoqGujlUpDJvS9WhxNdNifiozSYmNp39oaGVpxegyit9C3dfYdxIqKRaEBBTFtbG1atWoW1a9ciMdH927coinjxxRfx5JNP4sYbb0R+fj7+9Kc/oaOjA3/5y18AACaTCW+//Taee+45LF26FLNnz8a6detw4MABbNy4EQBw5MgRlJSU4K233kJhYSEKCwuxdu1afPrppzh27FgQbpsGK0qrVnZQBqRVSZE4qXgkEQTBvfTdzJISEY18Awpi7r33XlxzzTVYunSp1+NnzpxBTU0Nli1bpjym1+tx6aWXYuvWrQCA0tJS2Gw2r2MyMzORn5+vHLNt2zYYjUYsWLBAOWbhwoUwGo3KMRR68hsmAMwdl9THkTRcuk9SJiIayQJu4CguLsaePXuwa9euHs/V1NQAANLT070eT09Px7lz55RjdDqdVwZHPkZ+fU1NDdLS0nqcPy0tTTmmO4vFAovF/YO7tbU1gLuigUiL0+Okaz4MVyaFhzQlE8NyEhGNfAFlYsrLy/Hggw9i3bp1iIrqfSlx96ZQURT7bRTtfoyv4/s6z5o1a5QmYKPRiOzs7D6/Hg2e/IapUQnKFgwUWmksJxHRKBJQEFNaWoq6ujrMmTMHGo0GGo0GmzdvxssvvwyNRqNkYLpnS+rq6pTnMjIyYLVa0dzc3OcxtbU9B3bV19f3yPLInnjiCZhMJuWjvLw8kFujAZDLSTMy4xGtU4f4aggA0uJZTiKi0SOgIGbJkiU4cOAAysrKlI+5c+di1apVKCsrw4QJE5CRkYENGzYor7Fardi8eTMWLVoEAJgzZw60Wq3XMdXV1Th48KByTGFhIUwmE3bu3Kkcs2PHDphMJuWY7vR6PeLj470+aGjJU33lSbEUeqk+ykm1rV34qKwSNoczVJdFRDQkAuqJiYuLQ35+vtdjBoMBycnJyuOrV6/G7373O0yePBmTJ0/G7373O8TExOC2224DABiNRtxxxx14+OGHkZycjKSkJDzyyCMoKChQGoWnTZuG5cuX484778Qbb7wBALjrrruwYsUK5OXlDfqmKThWzMzEhTmJET+leCTxnN8j+80nh/CPAzXQqlW4umBMqC6NiCjogj6Z7ec//zk6Ozvx05/+FM3NzViwYAG++OILxMXFKce88MIL0Gg0uOmmm9DZ2YklS5bgnXfegVrtLkm89957eOCBB5RVTCtXrsSrr74a7MulQZKnxFJ4UFYneQQxh6qkJvezje0huSYioqEiiKIohvoihkJrayuMRiNMJhNLSzRqNLRZMPe30ryl47+9CiJETPtlCZwi8KOLxuFX184I8RUSEfUtkPfvyJ6RT0RekmJ00KgE2J0iGtosaLfY4XT9msIVS0Q00nAXa6IRRKUSlC0h6s0WnKp3l5DqGcQQ0QjDIIZohJE3gqwzW3C6oU15vIFBDBGNMAxiiEYYz6m9pz0yMSwnEdFIwyCGaIRJ9dg/6XS9OxPTZrGjw2oP1WUREQUdgxiiEcZz64HTDd7LqhvM1lBcEhHRkGAQQzTCyD0xx2vNaOmwAfA9yZeIKNIxiCEaYeSBd/vKWwAAYxOikZMUA4ArlIhoZOGcGKIRRi4n2V0DYiakGhCrl77V69sYxBDRyMEghmiEkctJsgkpBshjubm7NRGNJCwnEY0wKbF6CIL784lpsUiN7bkx5ECIooiPyipxsNI0qPMQEQUDgxiiEUarViEpRqd8PiElVsnODLac9M2JBjxYXIYfv7MLDueI3HaNiCIIgxiiEUhejQRIPTHBWp20fm+l6zwW7DjTOKhzERENFoMYohEoLV5aoRStVSMjPgqpsdLngykndVjt+PxQjfL5p/urB3eRRESDxCCGaASSVyiNTzFApRKUclJDmxXOAZaBNh6pQ4fVAZ1G+rFRcrAGdoczOBdMRDQADGKIRqB0V9AyIdUAAEgy6CAIgMMpoqnDCpvDifv+sgf/+flRv8/5kauU9OOLxiPJoENTuxXbTrOkREShwyCGaARaOWssFoxPwg8W5gLwbvatN1uw43QTPt1fjT9sOoU2S//7KTW1W7H5eD0A4LsXjsXy/AwAwKf7WFIiotBhEEM0AuVlxOH9nxRi4YRk5TG5ubfebMHWUw0AAFEEDlT0v1z67weqYXeKmD4mHpPT47Bi5hgAQMmhGljtLCkRUWgwiCEaJVI9Nob89pS7DLSvoqXf135cJpWSrp+dCQBYMD4ZKbF6mDpt+NYVEBERDTcGMUSjhBzEnK5vwwGPwEXeY6k3ze1W7DrbDAC4dpYUxKhVAq4ukEpK720/H/yLJSLyA4MYolFC3hjy7weq4RQBjUoa69tfELPrbBMAYFJaLMYYo5XHixbmQq0SsPFILTYdqxuaiyYi6gODGKJRQs7EnGvsAACsmDkGggBUmbpQ19r7ELwdZ6QgZv74JK/HJ6fH4UeLxgEAfv3xIVjsjiG4aiKi3jGIIRol0uK8N4a8YnoGJqfFAgD29dHcu9MVxCzoFsQAwINLJyM1To+zjR1Y+/XpIF4tEVH/GMQQjRKp3YKYwonJmJWVAKD3kpK5y4ZDVVKAs2B8co/n46K0+LdrpgEAXv3qJCpbOoN3wURE/WAQQzRKeAYx08bEI8mgw6zsBAC9r1Dafa4ZThHITY5BhjHK5zErZ2XiwpwEdNmc+Pxgjc9jiIiGAoMYolHCs5x00UQpq3KBHMSUt/jcjkAuJc0f17OUJBMEAQVjjQCkoXhERMOFQQzRKBGr1yBKK33LL5okBTF5GXHQaVRo7bLjbGN7j9fscG0r0L2pt7sE1zTg5g4GMUQ0fBjEEI0SgiDgrosnYOm0dCyamAJA2o4gPzMeQM+SUqfVgf2uhl/Pyb++JMZoAQAtHbYgXzURUe80ob4AIho+P1uW1+OxWdkJ2HO+BfvKTbhhdpby+N7zzbA7RYwxRiErMbrH6zwlGqRMDMtJRDScmIkhGuXm5CYCAD7dX+21GeR2j6XVgiD0eQ6Wk4goFBjEEI1yy6ZnIDc5Bg1tFry5+RQAoMvmwGcHpB2q5/tYWt0dy0lEFAoMYohGOZ1GhceXTwUAvPnNaVSbOvHLDw/iRF0bkgw6LJuR3u85EpmJIaIQYBBDRFien4F54xLRZXNi1Vs78NfSCqgE4JVbZyMlVt/v6+WeGIvdiU4rtx8gouHBIIaIIAgCnrxmOgDgdL201PqRK/Nw0aQUv15v0KmhVUt9M03MxhDRMGEQQ0QApMF3112QCQC4Yno67rl0ot+vFQTB3dzLFUpENEy4xJqIFGtuLMAV09OxdFp6vyuSukuM0aLebGFzLxENGwYxRKSI0WmwYmbmgF7L5l4iGm4sJxFRUMhBTAuDGCIaJgxiiCgoEg3SrJimdpaTiGh4MIghoqDg1F4iGm4MYogoKNxTexnEENHwYBBDREHhbuxlOYlGB5vDGepLGPUYxBBRULCxl0aSr47W4bH/24+61i6fz2871YiCX3+OV748McxXRp4YxBBRUCiNvQxiKMLsr2jxCr73lbfgJ++W4v3d5bjnvT2w2r0zLk6niP/49DC6bE7881jdcF8ueWAQQ0RBITf2tnB1EkWQveebsfLVb7H0+c3YdqoRTe1W/PS9PbC6SkWl55rxu38c8XrNZwdrcLi6FQBQ3tQ57NdMbgxiiCgo5HKS2WJnrwBFjENVUjDS0GbFqre243uvb0VlSyfGJcfg+ZtmAQDe2XoWH5VVAgAcThHPbzimvL6hzcJNT0OIE3uJKCiM0VoIAiCKQEuHDalx/e9+TRRqlS1SJiUxRovmDhtO17cjSqvC60VzMDUjHqfq2/D7r07hkb/uw66zTchKjMGp+nYkxGhhszvRbnWgorkDk9PjQnwnoxODGCIKCrVKgDFai5YOG5o7rAxiKCJUNktBzD2XTUR8lBZ/3nYODy6djKkZ8QCAn12Rh7ONHfj7/mqs235eed3dl07ER2VVOFLdiormTgYxIcJyEhEFTSJ3sqYIU9HcAQAYmxCDW+bn4B8PXowrZ2Qoz6tVAn5/24X4nzsXYt64RADAGGMUbi8ch+zEaABAuescNPyYiSGioElwDbzjrBiKFHI5KcsVkPSmcGIy/ndCIQ5WtiI1To9onRpZiTEAgPImBjGhwiCGiIKGs2IokljtTtSZLQCAsf0EMQAgCAIKsozK59lJrkwMVyiFDMtJRBQ0nNpLkaTa1AlRBKK0KiQbdAG/PtuVialoYSYmVBjEEFHQJCrlJGZiKPzJTb2ZCdEQBCHg12cxExNyDGKIKGgSDWzspchR4Qpixib0X0ryRc7EmDptaO1i9jEUGMQQUdCwsZciSYWfTb29Meg1SHIF7hXMxoQEgxgiCho29lI4s9qdMHtkTORykrzKaCC4zDq0GMQQUdAksCeGwtg960qx6Ol/KsuqK1vkGTEDy8QA4DLrEGMQQ0RBI6fWWU6icNNlc2DT8XqYu+z455FaAO4ZMf4sr+6N3Nwr99fQ8GIQQ0RB41lOcjrFEF8Nkdvh6lY4XP8mvz3ZCIdTRHVLF4DBZWKUZdYsJ4UEgxgiChq5nOQUAXOXPcRXQ+R2sNKk/P+2042oNnXC7hShUQlIj48a8HnlpmAusw4NBjFEFDR6jRoxOjUA9sVQeDlQ4Q5iTJ02bDwslZQyjFFQqwKfESPLTnL1xDR3QBSZfRxuAQUxr732GmbOnIn4+HjEx8ejsLAQn332mfJ8W1sb7rvvPmRlZSE6OhrTpk3Da6+95nUOi8WC+++/HykpKTAYDFi5ciUqKiq8jmlubkZRURGMRiOMRiOKiorQ0tIy8LskomEjl5SaGMRQGDngysQYXEH2/+6W3ncGurxaJpeiOqwO9oKFQEBBTFZWFp5++mns3r0bu3fvxuWXX47rrrsOhw4dAgA89NBDKCkpwbp163DkyBE89NBDuP/++/HRRx8p51i9ejXWr1+P4uJibNmyBW1tbVixYgUcDodyzG233YaysjKUlJSgpKQEZWVlKCoqCtItE9FQSuLAOwozXTYHTtS1AQBuW5ADQOqRAaTdqwcjSqtGerweAFcohUJAQcy1116Lq6++GlOmTMGUKVPw1FNPITY2Ftu3bwcAbNu2Dbfffjsuu+wyjBs3DnfddRdmzZqF3bt3AwBMJhPefvttPPfcc1i6dClmz56NdevW4cCBA9i4cSMA4MiRIygpKcFbb72FwsJCFBYWYu3atfj0009x7NixIN8+EQWbHMQ0MoihMCE39abE6nDD7Cyv5wazMkmmLLNmc++wG3BPjMPhQHFxMdrb21FYWAgAWLx4MT7++GNUVlZCFEV89dVXOH78OK688koAQGlpKWw2G5YtW6acJzMzE/n5+di6dSsAKRAyGo1YsGCBcszChQthNBqVY3yxWCxobW31+iCi4SdvpNfEICbsbDvViPd2nAv1ZQw7uak3f6wRUzPilEAbALIGsTJJls3m3pDRBPqCAwcOoLCwEF1dXYiNjcX69esxffp0AMDLL7+MO++8E1lZWdBoNFCpVHjrrbewePFiAEBNTQ10Oh0SExO9zpmeno6amhrlmLS0tB5fNy0tTTnGlzVr1uA3v/lNoLdDREGWyCAmLImiiAeK96LebEHBWCNmZiWE+pKGjdzUWzDWCJVKQOHEZPx9fzWA4GRixrgCoRoTg5jhFnAmJi8vD2VlZdi+fTvuuece3H777Th8+DAAKYjZvn07Pv74Y5SWluK5557DT3/6U6VU1BtRFL12EPW1m2j3Y7p74oknYDKZlI/y8vJAb42IgiCJQUxYqmzpRL3ZAgA4Uj26MtUHPDIxALBoYrLy3GAbewFgjFFaol3T2jXoc1FgAs7E6HQ6TJo0CQAwd+5c7Nq1Cy+99BJefPFF/OIXv8D69etxzTXXAABmzpyJsrIy/Nd//ReWLl2KjIwMWK1WNDc3e2Vj6urqsGjRIgBARkYGamtre3zd+vp6pKen93pder0eer0+0NshoiBjOSk8ec5JOV7bFsIrGV6eTb0zs6QgZvGkFACATqNChnHgM2Jk8pyZmlbLoM9FgRn0nBhRFGGxWGCz2WCz2aBSeZ9SrVbD6XQCAObMmQOtVosNGzYoz1dXV+PgwYNKEFNYWAiTyYSdO3cqx+zYsQMmk0k5hojCFxt7w9MBjyBGflMfDTybejNcwUZusgEv3DwLL98yG3qNetBfQz4vy0nDL6BMzC9+8QtcddVVyM7OhtlsRnFxMTZt2oSSkhLEx8fj0ksvxaOPPoro6Gjk5uZi8+bN+POf/4znn38eAGA0GnHHHXfg4YcfRnJyMpKSkvDII4+goKAAS5cuBQBMmzYNy5cvx5133ok33ngDAHDXXXdhxYoVyMvLC/LtE1GwJcfKmRj+VhpO9nsMeztRaw7hlQwvz6Zez5aE7quUBkMuJ9WbLbA7nNCoOUd2uAQUxNTW1qKoqAjV1dUwGo2YOXMmSkpKcMUVVwAAiouL8cQTT2DVqlVoampCbm4unnrqKdx9993KOV544QVoNBrcdNNN6OzsxJIlS/DOO+9ArXZHw++99x4eeOABZRXTypUr8eqrrwbjfoloiMnD7prbOfgrXIii6FVOqjZ1wdxlQ1yUNoRXNTzk+y5w9cMMheRYPdQqAQ6niIY2a1BKVOSfgIKYt99+u8/nMzIy8Mc//rHPY6KiovDKK6/glVde6fWYpKQkrFu3LpBLI6IwkWyQetPaLHZY7I6gpOtpcCpbOtHcYYNGJcAYrUVjuxUn6tpwYU5i/y+OcPJQuxmZ8UP2NdQqAWlxelSbulBt6hwVQUybxY7K5k5MSosd1LYNg8WcFxEFVXy0BhrXDzU294YHORsxJT0O08ZIb+YnR0Fzr93hVJqY5fseKnLgUjtKVihtP9WIK1/8Gjf84duQXgeDGCIKKkEQlFkxjW0MYsKB3NQ7M8uIyemxAIDjEdwXs+VEA37zySF02Rx9Hne2sR1WuxMxOjWyEwe3vUB/3M29oyOI2e8RGIdSwEusiYj6k2zQod5s4U7WYUJu6s0fa4TK1dwaySuUfvv3wzhaY8aiiSm4YnrvozcOV0uBWl5GHFRDXPKQl1lXj5JMzP6KFgDuZeuhwiCGiIJO2cma5aSQ82zqLRhrhM0hjbwYqhVKVrsT+ytaUN7cgYqmTkwdE99noBEou8OJU/VSANZf6eaoqx9mqEtJgHuFUu0oyMSIoqhMQQ715GcGMUQUdEmxLCeFC8+m3ryMOFhsUhBTNUQrlH76Xik2HqlTPhcE4MufXYoJqbFBOf/Zxg7YHCIAoKGt72X8R2ukQG1axtCXPDJG0dTeypZONLZboVEJmDoMf7Z9YU8MEQUdp/aGD8+m3iitGsYYLdLipBVkJ4NcUnI6RXx7shEAMDc3ERNSDBBF4K0tZ4L2NU7WuTNI/QUxR4YxEzOaemLkLMzUMdK/qVBiEENEQcepveHDs6lXJjf3BrsvprKlE502B3RqFYrvWog1NxYAAP6vtELZt2mwPLdMaDD3/u+rpcOKaldAMWWYMzGiKA751wulfcqGmgmhvRAwiCGiISBnYpoZxITcNycaAHj3LkxOk97Ug90Xc8xVvpmQaoBGrcL88UmYlZ0Aq92JP287CwD46+5yLH7mnyg5WDOgr+EZePWViTniaurNSoxG/DAM9ZMbe7tsTrR22of864XSgcoWAMCsEDf1AgxiiGgIJLKcFBZO1Jqxv8IEjUrAlTPczbVDlYk57ir1yMtuBUHA3ZdMAAD8eds5PP/FMTz6f/tR0dyJkoPVA/oanoFXX0HM0ZrhKyUBQJRWjcQYKViqbh25eyg5naKy2q2AQQwRjUTuchL3Twql/9tTAQC4LC8NybF65XE5yDhabYbDGbzSx/Ea95Jm2bIZGRiXHANTpw0v//Ok8njDAJq+7Q4nTte3+3WOo9XD19QrSx8FfTHnmjpg7rJDr1GFfEYMwCCGiIaAvPUAMzGh43CK+HBvJQDge3PGej03NSMO0Vo1alq78Nu/Hw7a15T7VSanuVciqVUC/vViKRsjCMA1M8cA6L8p15dzTR2wOpzKROg2i10ZeGd3OPH43/YrZasjw5yJAUbH1F55Psz0zHhow2CjSy6xJqKgkzMxLZ02OJxiSPdWGa22nGxAbasFCTFafGdqmtdzcVFa/Of3Z+K+v+zFH789i+zEGPx48fhBfT2HU8RJ1/yW7r+h3zwvGw1tFlyQnYC0uCj8fX/1gIKYE64gaeqYOByvaYPV4US92YLspBjsOtuM4l3lAKTgWe7PmTqMQYw8K6Z6BGdi5FLSrBDPh5GFPowiohFH7g0QRWmVCA2/v5VKpaSVszJ9bsK5YmYmHr9qKgDgP/5+GF8eqR3U1zvnGvEfpVUhO8l7xL9WrcLqpVNwWV4aUuLc/VKBlrLkfpgpaXFIifVeAVfe3KEc9+LGE7DYnYjWqpGTNLTbDXiSy0mjIRMzlLuCB4JBDBEFnUatgjFaCmRYUhoenVYHfvDWDtz0xjY8v+E4Pj8krf757oVZvb7mJ5dMwK3zsyGKwO+/Otnrcf6QS0n97WqcFKODIABOMfB/G3Ij8uT0OKS4Zt00uJZuVzRLzbTp8e7en7yMuGHNAsqzYkZqJsbhFHGwUirTzcpmEENEI1gyZ8UMq11nm7DlZAN2nmnCy19KmYhJabF97m0jCAKKFo4DAJxpaO/1OH94Zkn6olGrkOTaliLQkpK8aeXktFikuBqV5XNUuDIxty8ah9VLJwMALpmcEtD5B0uZFeMKYqx2p7LNw0hwpLoVnTYHDDo1xqcEZwLzYLEnhoiGRJJBh9MN7czEDBN5Jdi45BgUZCXgWE0rfnZFHgSh70xETrJUbmnusKG1yzbgmSrH5CDGj9VAKbF6NLZbAwpi7A4nTrsCrSnp7nKSEsQ0SZmYrMQYrJyViVULcpVjhotnY+/ZhnasemsHzF023HXJBPzLReMRq4/st9xNx6TtJBZNSgmbPjdmYohoSCQFeVbM8VozfrH+wIhevjoY8vTaWdkJeOXW2fjioUuxPD+j39fF6jXKm/35xo4+j3U6RZSea0K1qeccFLnpdkp6/7+hy30xgQQx55s6lJ6bsYnRHpkY6b7lTExWYjQAIDVO328AF2xj4qWv3dxhw21rt6OypROtXXb81xfHccmzXw267yjUvjpWDwD4Tl5aP0cOHwYxRDQkkmODG8T88dsz+MuO83h3+9mgnG+kaXBlYuTl7YGQm1/P9RLE1LZ24YUNx3Hxs1/hu69tw1UvfaPsSwQANocTpxvk5dX+ZWKAwDYIlfthJqZKPTfyOerbLLDancrGi3IQEwrx0RpEaaW31SpTFyakGvD0jQUYlxyDpnYr/t9Hh0J2bYPV3G7F3vPNAIDL8lJDfDVuDGKIaEgkxgQ3iKl3ZRrkxkLyJgcEcpYjELnJBgDAuaaefTGiKOK7r23FS1+eQGVLJwQBaOmwYdVbO5Q+mLMN7bA5RBh0aoxN6D+I8AxA/HW4Svp7l5dvy0Fyg9mCGlMXnCKg16iQGht4EBcsgiBgjFG6/3HJMfifOxfilvk5+Pj+xQCkvaWCXV79+ng9PjswsOnHAX2dE/VwitKMoUw//o6HS2QX6IgobAV7E0hTp3SeQ1UMYnyRSzMpg8jE+ContXTYlJU/L958ARZNTMaP/7QLBytbcevaHXjmuwXK3/Gk9Dio/OiVcAcg/v3bKG/qwH+7dsKek5sIAEqw0tBmUZZXZyVGD3sJqbu7L52ADYdr8e/X5StLruOjtBifYsCZhnYcqjLh4snByWQcrWnFj97ZBYdTxFePXIbxKYYexzS0WfDh3kpYXQ3G2YkxuHZWZsBfa5OrlHRpGGVhAAYxRDRE5DeqYG0C2dJhAyD9UK4zdyEtLioo5x0p5ExM8gCaWXOTey8nyQFMapwe18+WJv+uu2MBbnlzO47WmHHHn3Yrx+b50Q8DoMfKor44nCIe/t99MFvsuDAnAbfMy5bOEefuiXH3wwzfTJje3DwvBzfPy+nx+PTMeJxpaMfBytagBDGiKOL/fXhImbWz8XAt7nTtU+XpuS+O4392nvd6LDMhWgkG/eF0ith8PPz6YQCWk4hoiCS5MgLdMzGbjtWh4FefB7wBYEunTfl/ZmN6UjIxAyinyEHM+aaeQUx5t4ZZAEiI0eEvdy7EqgU5yE5yPz5vXJJfXy81gCDm9c2nsPNsEww6NV68eTY0rlH38n2aOm3KqqVQ9sP0Jz9TWup+sMoUlPN9VFaFnWeblM+/POq7aVhelr54UgomuDI1O840BvS19lea0NRuRZxeE1DwMxwYxBDRkEhWVid5v1H9dXcFzBY7/rT1nN/nEkURpg53EHM4CEHMX3eX45+9/OCPNKIoDioTk5MkvblVmTphsTu8nit3BTbZ3bIcSQYdnrqhAN/8/HJ88/Pv4K93F/Y5WM+Tv5mYE7VmvLDhOADgN9flK8vBASAhWqss891X3gIgPDIxvckfK21/cKhy8EGMucuGp/5xBABw63wpM7XrbLPX94jsXKMU4D22fCpuWyBliPaca1GerzdbcPVL3/Q57PCro9LS6ounpITFfkmewutqiGjE8FxibXfV40VRxO5z0m+Pu881od1i9+tcnTaHUtMHBh/EVLV04tH/24+7393j9zWEE7vDiUaPAKC1y678+QwkE5MSq0OMTg1RdJePZPLnnhmX7rKTYjBvXJJf/TCAu/m4sc0KZx9bD2w8Uge7U8TFk1Pw3Qu9N7FUqQQlUD7g2s+nr2sMtRmuTMzZxg60dvUMNgLx8pcnUG+2YHyKAb9eOQOT02LhcIrYdLzO67g2i11Zgp6THIPZOVIWZe/5Zoii9Of+UVklDle34r3tvf9SIc+HuSzMSkkAgxgiGiLp8VFIiNHC5hCxz7XfSmVLJ2pbpTdfm0PE9tP+pbVbuv2GeWiQKXn5jdnqcGLbqcBS6+Fg9ftlmP+7L3HKteGiHNDE6jWI0vbcJ6k/giD02txbPgT9JvIycLtThKmz9zd0OcNy8eQUnw27csDWbnUE/RqDLcmgU1ZuDSYIb7PY8ZcdUo/LL1dMg16jxpJp6QCAL494BzHy32VCjBbGaC3yx8ZDp1ahsd2qlA7lXpcqU5fPgL7NYscBV/bokiA1JAcTgxgiGhJqlYCLJkpj37850QAAKD3X7HWM/AO0P82uTSSjXW/QZxs7YB7Eb7M1Hhv0+XsN4WTHmSY4nCL2uP48GwZRSpK5m3u9l1n3Vk4aDJ3GvbdWXyUlOfjtbcdkublXFs49MQAwI1MqKR0cRElp/d5KtFsdmJhqUJpsl0yT/rvpWJ2S9QSA864l87muAFWvUWOGq6y153wzumwO7Dzj7quRg2JP+8pb4BSBsQnRykTicMIghoiGzEWTpCBmiyuI2X1WetMd53rD/NrPAEKu9WclRmOM6wfp0RrzgK+rziOI+fpEZAUx7RY76l2bHsoBRuMgmnpl7lkx7kyMKIp+lZMGQp4S3NusmNrWLlSbuqASgPxedkz23FYgSqtSykvhSr6PgWZiRFFUyj6rFuQq2akLcxKRGKNFa5cduz1+UZBXm+Uku5deX+gqKe0514IdZ5pgsbuDHl9BjBwoXxhmDb0yBjFENGQudm3At7e8BeYum5KJ+ellk6BRCTjb2NHvqHvAvTIpIUaL6WMG3yDpuXXBucaOHtmHcOa5gkj+/wbXCrDBvIn7KifVt1lgsTuhEqAMcQuW7tsGdCeXkqakx8HQy55DnoPtshJjQj4jpj9yc6+8QsnmcOJ4rVnpT+lP6blmHK0xI0qrwnfnuJuo1SpBycp4bm0gB6RyJgbwCGLON/f4JeJknY8gxjWl98KcBL+ucbgxiCGiIZOdFIPc5Bg4nCL+ebQOR2uk30AvzUtVfrPb7EcmRO6JMUbrlJT8YJZZe5aTAP8zQuHAc5ZLuStL0uDKzHQvrwRCKSd5BEnlrk0VM+KjoNME9+1CmfNi9p2J6a+UBHhnnrLDvJQEuJdZn6xrQ73Zglve3I5lL3yNjd16WXrzrisLs3JWplKOk8l9Mf886j7XeSUT4xHE5CYAkDKZXxyuAQDMG5eoXJcnURSx1xVMysFPuGEQQ0RDarGrpPTqP0/CKUolofT4KFw6RWoS3HzMjyDGNa03IUaL6a43gsPVAw9i6lzNxXJWJ5L6Ys57bA0gZ2LkHaxTBpGJyXUtsz7f1KGsGFKGyCUFv2G2v1kx+8qlbMWs7IRez+G5xUI4N/XK0uKjkBqnh1MEvvvaViUz+ZkfM5Ma2yz47IAUdPxgYW6P5y+alAwAOFXv3jn+XLeeGEDKqI0xRsHhFFHe1AmVAPywcByAnkHM6YZ2tHTYoNeoMM31vRJuGMQQ0ZCSS0ryBn5zXRkYeaXDtlMNsHrU5X2Re2ISorVKJuZ4rbnf1/VGzsTcNDfLdQ2NAz7XcPPMxNSbLei0OpTx/cmD6InJTIiCRiXAanei1iz9+Sj9MEMQIMj9LL6CGKfTvaJtVrbvfhjpHJ7lpPDPxABAvuvf7/mmDmhcS9K3nGjot6S03rV1wMwsI2b6yE4lxOgwKU2amFx6rhk2hxNVLdLfY26y93YEnlmVC7ITlKzoucYO2Dwag+V+mJlZxqBn4oIlPK+KiEaMwokp8BwfIk/8nJEZj2SDDu1Wh1J3741cTko06JCVGI34KA1sDhEP/3Ufdpxu9LunAJBS5LWuIOY7U9OQEitdQ/eVU+Gq+1Td8uYOdyZmEEGMRq3CWFcgIAdKcuPwUAQIffXEnGlsh7nLjiitStnwsa9zSNcY/pkYAChwNfcadGq8e8cC6DUq1JktSpDfbrHjqpe+wb96bOcAAPtds3Cuyh/T67nlXxB2n2tCZXMnHE4Reo0Kad3KjLM9+lsunZKGTGMUYnRq2J2iV5C853wLgPAtJQEMYohoiBmjtV6/Oc7JlUbTq1SCsnppaz+zWuQl1sZoLQRBwDUzpR/kn+yrws1vbsfNb2z3O5AxddqUFRnp8VHKPjaRUlKS32TkwLC8qSMoS6yBns297pVJQ5GJ6b2cJDf15mca+5wQG4mZmB8szMWqBTn4y50LUTgxGfPHS98P8gq+T/dX4Uh1KzYeqfWaoXPGtbXChNSemzzK5IzKnnPNSm9TTlJMjyGEniuNLpkizeCZmCplcTxLSnImZjaDGCIazeS+mDi9BnkZ7t+sCydKdfzt/QQxnquTAOB3NxTgb/csUjYD3Hm2qddVLt3JpaTEGC2itGql3OXv4L1QsjmcqGyRAgs5MDzf1DGofZM8yc298n478qC7oWia7auxVw5i+uqHAaQBcrF6DbRqAeOSe39zDydp8VF46oYC5d7k740tJ6UgpnhXuXLsadeSZ1EUcVYOYnzsVC2TMzH7KkxKMJKb3DMAzc80YlJaLGZkxiv/jia6giN5mXVrlw3H66R/B3IzcDhiEENEQ27FrDHQaVS4qiBD2e8GABZOkIKYsvIWdFodvb3coydGyjQIgoA5uYl4+rszle0NGtt7H5rmSZ4YnB4vzZuRf4gfqzErOwKHq6oWqUSg06i8VpSYu6RJqymDzMTIwwk/LKtCl82BKlfANBSNve6eGGuPLFpZRf9NvYC0tPhPP56HP/7LfBhjtH0eG64WewTRBytN2Osq4QBSky4g/RmZLXYIQt9ZsfEpBiQZdLDanfjHAalZWN4Xy5NOo8KGhy7BJ/ctVr4f5X6aU67gZ195C0RXI3447xjPIIaIhtzUjHjsenIpnrqhwOvxcckxyIiPgtXhxN4++mI8Vyd1p7wZmv3LxNS6ZsTIQcz4FAOitCp02hxhPy9GGV6WFKM0a8pvehqV0GPZbaCWTk9HWpweDW0WvLvtHGwOEVq1gIz44L+JyVkjq8OJ1i73uHur3YkjruXzF/SxvFo2JzdJCQQi0bQMqTesw+rAk+sPeD0nZ0XkUtLYhOg+t5UQBEHpX5F7vHxlYuRjPctMchBz0vU15U0iw7kfBmAQQ0TDxBit7dHfIAgCFk6QegK29VHOcc+J6fkmLe/D09+OyDK5qVd+Y1arBORlSCtGBrNsezh4Di+T+1eOuUo/ybG6QQ9706pVSonu95ukXY0zE6K9smfBEqVVI9Y1xM7z7273uSZYHU4kG3RhvaFjsHj2hu1zZaDk8QNyVkQuJY3vo5QkmzvOO+jI6SWI6c4zE9Nlc+CT/VUAwnfInYxBDBGFlNIX00sQ02VzKI24PjMxcYEFMXJPTHq8u39EnhdzJMyDmPOuTFFOsjuIkUtgcjA3WLfMz4FKcAeOQ7G8WubOorn/7r44JE2cvXxqWthP4A0Wz0zSGGMU/uWicQCkOS2e//UriOm2PUCun6XAnCQD1CoB7VYHfva/ZThZ14aUWB1WXjC2/xeHEIMYIgqp/vpi5DdTjUpQfnP35Nlb4Q85E5PusZnd9DFSs/FgdhceDnI5KTcpBpkJ0V5L1wczrddTZkK0Mv0VGNpVP3JJSd4/SRRFbDgsBTHLZmQM2dcNN3JzLwB8f06Wsqz8XGM7bA5nQJmY/LFG6FwZT5Xg/9JznUallJ7+4Rqq95/fm6X0nIUrBjFEFFI5STHINEbB5hB9zmqRl1cnxGh9/mbe11JdQNrs8eN9VcoUWrmx17PPY3qmnIkZ+KaSw0GeEZObbIBOo/Laz2gw03q785wIOxTLq2VyCeNzV/blUFUrKls6Ee2xamw0yEyIxsIJSTBGa3Hz/ByMiY9CtFYNm0NEeVOH0hPjTxATpVUrezSNMUYHNKRukmuZNQDcXpiL70xNC/BOhh+DGCIKKakvpveSUl/9MIA7E9PYSxDzdMlRPPA/e/H+bmnpqruc5A5i5J6YmtYuZWR7uBFFUQli5D4Hz56RYGViAODiSSnKb+X+vHEOVFGhFCz940A1yps6lCzMxZNT+mxgHYn+9OP5+Oax72BsQjRUKkGZB3Oirg1nG/0PYgBg7jipz6y3pt7eTHWNP5icFosnrp4W0GtDhUEMEYWcHMT4au41KSuTfGca+tsNWf4t9otDNbA5nErGxjOIidVrMM71Az9c+2Lq2yzosDogCO4ST45HlmQwO1h3p1IJeG3VHDx6ZR6WTU/v/wUDNCPTiIsnp8DhFPH2ljP4YhSWkmR6jRrxUe5AXR4+9+3JBljsTmjVAsYm+Ffau2luFiamGnCzq0nbX7cvGof7L5+E//6XeRETRPre35yIaBjJzb37ylvQYbUjRuf+0dTisW+SL8n9lJPkx7eeakRFcydEUeqv6f6mP21MPM42duBwVauyWiScyFN0M43R0GukNxivIGaQg+66m54Zr5TZhtJdl0zANyca8Jed52G1O6ESgCURUMYYanIQs9EV2OUkxUDTx/RiT5PS4vDlw5cF/DWTY/V4eFlewK8LJWZiiCjkpIFaetidIo7WePelyNN6extm5i4n9RyaJj8OABa7Ex/urQQApMXpe4xinxbmK5Q8Z8TIPPtVBjvoLlQWT0rB9DHxygac88cnITHMm0mHw8Q0qXRU5ZprNJRlvUjGIIaIQk4QBGU7gmPdg5hu03q7621oGgB0WO3o8Fjx9FdXX4znyiSZvMw6XGfFKDNiPPoccryCmOBmYoaLIAj4yaUTlM+XTR99pSRfJno02QIMYnrDIIaIwsLUXoOY3qf1Ar0PTQN6TvGVf6tN9zFGfZqrdHKyrg0We+9bIISKnCHyfHMbCUEMAFxdMAaT0mIRo1NjeT6DGEAKWjwX441Pie394FGMPTFEFBbk2Rjy5oMyJRPTx944KbE6tFnsaGyzYmKq+/EG135KyQYdzF12WB1SySLDRyYm0xgFY7QWpk4bTtS2IX+scVD3E0yiKGL32SYAwByPiaxJBh2unJGODqsDaUFcnTTctGoV/nbPInRaHT7/bkajKK0aYxOilZ3Ex6UM3VL3SMZMDBGFhV7LSf2sTgJ6nxUjT4LNSozG/PFJyuNp8T3f8AVBwDTX0Ltw64s5Vd+G5g4borQq5Ge6gytBEPBG0Vy8e8eCHj0+kcYYrWUA041n1m0CMzE+MYghorAwOS0OggA0tlu9gpH+VicB0r5BgI8gxtXUmxKrx2V57hRNbxsaTnXNiznh2rMmVJrarV7Ti3edlYYAXpCdENDwMopschATrVV7bZNBbvxuIKKwEK1TK/u8eGZjTJ3+lJN8z4qRB+ClxOq9po+m9xLEyHM45K0JhlOXzYGPyiqx6q3tuPA/NuB7r29VpgzvcpWS5o1L6usUNMLIK5TGpRhGzT5SgWIQQ0RhQ+6L8Qxi+ludBPRRTnJ9nhyrw4QUA2ZlJ8CgUyulq+7kMlMogphVb+3Ag8Vl+PakNPDvUFWrMsGYQczodMW0dMzKTsDthbn9HzxKsbGXiMJGXkYcvjhcqzT3dtkc6LRJZZXe5sQAvndDBrzLSYIg4N075sNic/a6kkfO0NS1+rcjdrCYOmzKvlEPLJmMMw3t+GRfFYp3lWNCaizKmzqhEoDZOQnDel0UWmnxUfjo3otCfRlhjUEMEYUNOUMiD7yTS0kqAYjzsYO1TA5KGrvteyRnYuR9heKjtEAfvaNyr0xNaxdEURy2FL48myYrMRo/u2IKDlaa8Mm+KpQcrME8V0PytDHxiIvqPZAjGo1YTiKisJHnKiedqDXD6RS9Nn/sa/WNHKT0Vk7yd5qtXE7qsDrQZrH3c3TwyKuh5KnB+WON0hRbhxPPfXEMAEtJRL4wiCGisDEuxQCtWkC71YHKlk6PQXd9ByHyPkh9lZP8EaPTIC5KyvjUDmNJSc7EyFODAeCW+dLmfXIgxyCGqCcGMUQUNrRqlbKs9FiNWdk3qa+VSYA7E9NudShLk612p1KOCmSardwXM5zNvd0zMQBw3ayx0Hssp57nMeSOiCQMYogorMh9MXvLm7Fu+zkAQLKh7yAkTq9R5qfIJaQmV3+MWiX0OWOmu4xhDmJsDidO1EpzaWZ47BptjNHiKtcI/tzkGKT1siycaDRjEENEYUVeZv37r07hmxMNiNKqcOfF4/t8jSAISO22zFr+b5JBF9A0W/cy6+EpJ52qb4PV4UScXoOsxGiv5+66ZCJSYvW4bX7OsFwLUaTh6iQiCitycy8AJMZo8d//Mg+zc/ovpSTH6lDZ0olGVx9Mg8egu0AMdznpcJW7lNR9NdT0zHjs/relw3IdRJGIQQwRhZULcxMRq9cg0aDFOz+a77V/TF+6D7xzN/X6tzJJNtzlJHc/jO8BfETUu4DKSa+99hpmzpyJ+Ph4xMfHo7CwEJ999pnXMUeOHMHKlSthNBoRFxeHhQsX4vz588rzFosF999/P1JSUmAwGLBy5UpUVFR4naO5uRlFRUUwGo0wGo0oKipCS0vLwO+SiCJGkkGHbx+/HF/+7DK/AxjAY+Bdt3JS4JmY4Z3aq6xM8uiHISL/BBTEZGVl4emnn8bu3buxe/duXH755bjuuutw6NAhAMCpU6ewePFiTJ06FZs2bcK+ffvwy1/+ElFR7oa01atXY/369SguLsaWLVvQ1taGFStWwOFwb3Z22223oaysDCUlJSgpKUFZWRmKioqCdMtEFO6M0dqANzpM7rZ/UmOAM2JkaUomZuh7YkRRxJFqabCf58okIvJPQOWka6+91uvzp556Cq+99hq2b9+OGTNm4Mknn8TVV1+NZ599VjlmwoQJyv+bTCa8/fbbePfdd7F0qVTnXbduHbKzs7Fx40ZceeWVOHLkCEpKSrB9+3YsWLAAALB27VoUFhbi2LFjyMvLG/DNEtHI1Xs5aWA9MXXmLjidYkBNwYGqbbWgqd0KtUpQGpqJyH8DXp3kcDhQXFyM9vZ2FBYWwul04u9//zumTJmCK6+8EmlpaViwYAE+/PBD5TWlpaWw2WxYtmyZ8lhmZiby8/OxdetWAMC2bdtgNBqVAAYAFi5cCKPRqBzji8ViQWtrq9cHEY0evZWTkgMMYtJcM2dsDhHNHdZ+jh4cuR9mQooBUVr1kH4topEo4CDmwIEDiI2NhV6vx913343169dj+vTpqKurQ1tbG55++mksX74cX3zxBW644QbceOON2Lx5MwCgpqYGOp0OiYneKw3S09NRU1OjHJOWltbj66alpSnH+LJmzRqlh8ZoNCI7OzvQWyOiCCZnUE7Vt8PhFAfc2KtVq5TXDHVJif0wRIMTcBCTl5eHsrIybN++Hffccw9uv/12HD58GE6nEwBw3XXX4aGHHsIFF1yAxx9/HCtWrMDrr7/e5zm7b7Tma9O1/jZje+KJJ2AymZSP8vLyQG+NiCLY7JwEJMRoUW+24NuTDQNu7AWAtLjhWaF02MekXiLyX8BBjE6nw6RJkzB37lysWbMGs2bNwksvvYSUlBRoNBpMnz7d6/hp06Ypq5MyMjJgtVrR3NzsdUxdXR3S09OVY2pra3t83fr6euUYX/R6vbJqSv4gotFDr1Fj5axMAMBfSyuUib2pcYEHMRnG4QliTrom9eaxH4ZoQAY9sVcURVgsFuh0OsybNw/Hjh3zev748ePIzc0FAMyZMwdarRYbNmxQnq+ursbBgwexaNEiAEBhYSFMJhN27typHLNjxw6YTCblGCIiX757YRYA4LMD1XA4RQDSku1ApXeb2tvUbkW9ObilJYdTxJmGdgDApDT/l5ITkVtAq5N+8Ytf4KqrrkJ2djbMZjOKi4uxadMmlJSUAAAeffRR3Hzzzbjkkkvwne98ByUlJfjkk0+wadMmAIDRaMQdd9yBhx9+GMnJyUhKSsIjjzyCgoICZbXStGnTsHz5ctx555144403AAB33XUXVqxYwZVJRNSnmVlGTEqLxck6KcOREKOFVh3472pKOcnchS6bA9e+sgWdNge+fexyROuC04Bb0dwBq8MJvUaFzITo/l9ARD0E9N1dW1uLoqIi5OXlYcmSJdixYwdKSkpwxRVXAABuuOEGvP7663j22WdRUFCAt956C3/729+wePFi5RwvvPACrr/+etx000246KKLEBMTg08++QRqtfsHw3vvvYeCggIsW7YMy5Ytw8yZM/Huu+8G6ZaJaKQSBEHJxgAD64cBPLYeMHXh0/3VqGzpRFO7FTVBLC+dqpcCrfEpBqiHcBk30UgmiKIohvoihkJrayuMRiNMJhP7Y4hGkRpTFxY9/SWcIrBgfBLe/0lhwOf459Fa/Pid3cgfGw+tWoW951sAAB/dexFmZScE5TrXfn0aT/3jCK4pGIPfr7owKOckGgkCef/mLtZENKJkGKNw0aQUAEDKAJp6AXc56ViNWQlgAKC1yzbo65OdbpAyMRNTDUE7J9FowyCGiEace78zCckGHZZN731FY1/kcpLN4Z2oNnUGL4g5VSc19U5kUy/RgHEXayIacRZOSEbpL68Y8OuTDTpoVALsrhVOqXF61JstaO20B+sSlZ6YQDa5JCJvzMQQEXWjUgnK9gOT02Jx8WSpPBWsTExzuxWNrjk241NYTiIaKAYxREQ+ZCXFAABWLciBMVoLIHg9MXI/TKYxCgY9E+JEA8UghojIh/+3YjqevHoafrAw1x3EBCkTw34YouDgrwBERD7kjzUif6wRABAfJQUxwSonsR+GKDiYiSEi6oe7nBScxl53EMN+GKLBYBBDRNSP+GCXk+pd5SRmYogGhUEMEVE/4qOkynswghiL3YHzTR0A2BNDNFgMYoiI+mGMCd7qpPONHXA4RcTqNcoybiIaGAYxRET98GzsHex2c3I/zIRUAwSBGz8SDQaDGCKifsg9MTaHiC6bc1DnkvthJnDIHdGgMYghIuqHQaeGWiVlTQZbUqpt7QIAZCXGDPq6iEY7BjFERP0QBEFp7h3srJh6swWAtB8TEQ0OgxgiIj8Ea5k1gxii4GEQQ0Tkh2Dtn1TfxiCGKFgYxBAR+SFYWw8omZhYBjFEg8UghojID+5NIAe+9UC7xY4OqwMAMzFEwcAghojID/HRg2/slbMwMTo1DHruv0s0WAxiiIj8IJeTBtPYy34YouBiEENE5If4IDT2sh+GKLgYxBAR+UEOYoJRTmImhig4GMQQEfnBvZP1wBt7GcQQBReDGCIiP/g7J+avu8vxxAf7YXf03GOJ5SSi4GJ7PBGRH/wpJzW2WfDkhwdhtTtxVf4YXDIl1et5NvYSBRczMUREfvBnddL/7DwPq13KwJyqb+vxPMtJRMHFIIaIyA9yOclsscPpFHs8b3M48e72c8rnp+vbexwjBzFpcVFDdJVEowuDGCIiP8jD7kRRCmS6+8eBatS2WpTPu2dinE4RDSwnEQUVgxgiIj/oNWpEaaUfmb5KSn/89iwA4LI8qQ+meyampdMGuyuDkxyrG8IrJRo9GMQQEfmpt00g955vRll5C3RqFf7tmukAgJrWLrR7ZGzkUlKSQQetmj96iYKB30lERH7qbWrvX0srAAArZo3BpLRYJBukTMuZBnc2hsuriYKPQQwRkZ9628n6VJ3U/3LJZKmUNCHVID3u0RdT39YFgP0wRMHEIIaIyE/uqb3emZiK5k4AQHZSNABgQkosAO++GC6vJgo+BjFERH7yVU6yOZyoNrmCmMQYAL1kYhjEEAUdgxgiIj8ZfUztrW7pglMEdBoVUlz9LhNS+8jEsCeGKGgYxBAR+cnX1N7y5g4AQFZiNFQqAYA7E3OmoV0ZjMctB4iCj0EMEZGf5IF3rV3uxt7yJimIkUtJAJCTFAONSkCnzYGaVqmhl+UkouBjEENE5Cdf5aTuTb0AoFWrkJMkBTVySYlBDFHwMYghIvJT3+WkGK9j5ZLS6YY2WO1ONHdIr2FPDFHwMIghIvKT0cfqJF/lJMC7ubexXcrCaNWCcg4iGjwGMUREfkp2ZVGqW7qUhl1f5SQAmOixzHrX2WYAQEqsXmn+JaLB04T6AoiIIsXEVANidGqYLXYcrzNjXLIBda5el94yMd+caMA3Jxp8HkNEg8NMDBGRnzRqFS7ITgAA7D7brGRhDDo1EmK8y0STUmOhVUtZl2itGt+bk4Wnv1swrNdLNNIxE0NEFIC5uYnYeqoRe841IytRKiFlJ8VAELzLRIkGHd6+fR7qzRYsm5GOuCj2whAFG4MYIqIAzBmXBADYfa4Zs3MTAfRcmSS7ZErqsF0X0WjEchIRUQBm5yRAEIDzTR3Ye05q2JUzMkQ0vBjEEBEFID5Ki7z0OADA54dqAEjlJCIafgxiiIgCNMdVRmq3OgAA2czEEIUEgxgiogDNHZfo9TkzMUShwSCGiChAc3OTvD5nTwxRaDCIISIKUFZitLKRY0KMlsuniUKEQQwRUYAEQcBcV18Mp/AShQ6DGCKiASicmAwAmJweG+IrIRq9OOyOiGgAbpufA51ahcvy0kJ9KUSjFoMYIqIB0KhVuGV+Tqgvg2hUYzmJiIiIIhKDGCIiIopIDGKIiIgoIjGIISIioojEIIaIiIgiUkBBzGuvvYaZM2ciPj4e8fHxKCwsxGeffebz2J/85CcQBAEvvvii1+MWiwX3338/UlJSYDAYsHLlSlRUVHgd09zcjKKiIhiNRhiNRhQVFaGlpSWgGyMiIqKRLaAgJisrC08//TR2796N3bt34/LLL8d1112HQ4cOeR334YcfYseOHcjMzOxxjtWrV2P9+vUoLi7Gli1b0NbWhhUrVsDhcCjH3HbbbSgrK0NJSQlKSkpQVlaGoqKiAd4iERERjUjiICUmJopvvfWW8nlFRYU4duxY8eDBg2Jubq74wgsvKM+1tLSIWq1WLC4uVh6rrKwUVSqVWFJSIoqiKB4+fFgEIG7fvl05Ztu2bSIA8ejRo35fl8lkEgGIJpNpEHdHREREwymQ9+8B98Q4HA4UFxejvb0dhYWFAACn04mioiI8+uijmDFjRo/XlJaWwmazYdmyZcpjmZmZyM/Px9atWwEA27Ztg9FoxIIFC5RjFi5cCKPRqBzji8ViQWtrq9cHERERjVwBBzEHDhxAbGws9Ho97r77bqxfvx7Tp08HADzzzDPQaDR44IEHfL62pqYGOp0OiYmJXo+np6ejpqZGOSYtrecY77S0NOUYX9asWaP00BiNRmRnZwd6a0RERBRBAt52IC8vD2VlZWhpacHf/vY33H777di8eTM6Ozvx0ksvYc+ePRAEIaBziqLo9Rpfr+9+THdPPPEEfvaznymft7a2MpAhIiIawQIOYnQ6HSZNmgQAmDt3Lnbt2oWXXnoJ06ZNQ11dHXJy3HuJOBwOPPzww3jxxRdx9uxZZGRkwGq1orm52SsbU1dXh0WLFgEAMjIyUFtb2+Pr1tfXIz09vdfr0uv10Ov1gd4OERERRahBz4kRRREWiwVFRUXYv38/ysrKlI/MzEw8+uij+PzzzwEAc+bMgVarxYYNG5TXV1dX4+DBg0oQU1hYCJPJhJ07dyrH7NixAyaTSTmGiIiIKKBMzC9+8QtcddVVyM7OhtlsRnFxMTZt2oSSkhIkJycjOTnZ63itVouMjAzk5eUBAIxGI+644w48/PDDSE5ORlJSEh555BEUFBRg6dKlAIBp06Zh+fLluPPOO/HGG28AAO666y6sWLFCOY8/RFEEADb4EhERRRD5fVt+H+9TIMuefvzjH4u5ubmiTqcTU1NTxSVLlohffPFFr8d3X2ItiqLY2dkp3nfffWJSUpIYHR0trlixQjx//rzXMY2NjeKqVavEuLg4MS4uTly1apXY3NwcyKWK5eXlIgB+8IMf/OAHP/gRgR/l5eX9vtcLouhPqBN5nE4nqqqqEBcXF3CjcX/kpuHy8nLEx8cH9dyhNpLvDeD9RbKRfG8A7y+SjeR7A4b//kRRhNlsRmZmJlSqvrteAm7sjRQqlQpZWVlD+jXk7RdGopF8bwDvL5KN5HsDeH+RbCTfGzC892c0Gv06jhtAEhERUURiEENEREQRiUHMAOj1evzqV78akXNpRvK9Aby/SDaS7w3g/UWykXxvQHjf34ht7CUiIqKRjZkYIiIiikgMYoiIiCgiMYghIiKiiMQghoiIiCISg5gA/eEPf8D48eMRFRWFOXPm4Jtvvgn1JQ3ImjVrMG/ePMTFxSEtLQ3XX389jh075nWMKIr49a9/jczMTERHR+Oyyy7DoUOHQnTFA7dmzRoIgoDVq1crj0X6vVVWVuIHP/gBkpOTERMTgwsuuAClpaXK85F8f3a7Hf/2b/+G8ePHIzo6GhMmTMC///u/w+l0KsdEyv19/fXXuPbaa5GZmQlBEPDhhx96Pe/PfVgsFtx///1ISUmBwWDAypUrUVFRMYx30bu+7s9ms+Gxxx5DQUEBDAYDMjMz8cMf/hBVVVVe54jU++vuJz/5CQRBwIsvvuj1eLjenz/3duTIEaxcuRJGoxFxcXFYuHAhzp8/rzwfDvfGICYA77//PlavXo0nn3wSe/fuxcUXX4yrrrrK6y81UmzevBn33nsvtm/fjg0bNsBut2PZsmVob29Xjnn22Wfx/PPP49VXX8WuXbuQkZGBK664AmazOYRXHphdu3bhzTffxMyZM70ej+R7a25uxkUXXQStVovPPvsMhw8fxnPPPYeEhATlmEi+v2eeeQavv/46Xn31VRw5cgTPPvss/vM//xOvvPKKckyk3F97eztmzZqFV1991efz/tzH6tWrsX79ehQXF2PLli1oa2vDihUr4HA4hus2etXX/XV0dGDPnj345S9/iT179uCDDz7A8ePHsXLlSq/jIvX+PH344YfYsWMHMjMzezwXrvfX372dOnUKixcvxtSpU7Fp0ybs27cPv/zlLxEVFaUcExb3FtCuiqPc/PnzxbvvvtvrsalTp4qPP/54iK4oeOrq6kQA4ubNm0VRFEWn0ylmZGSITz/9tHJMV1eXaDQaxddffz1UlxkQs9ksTp48WdywYYN46aWXig8++KAoipF/b4899pi4ePHiXp+P9Pu75pprxB//+Mdej914443iD37wA1EUI/f+AIjr169XPvfnPlpaWkStVisWFxcrx1RWVooqlUosKSkZtmv3R/f782Xnzp0iAPHcuXOiKI6M+6uoqBDHjh0rHjx4sMemx5Fyf77u7eabb1a+53wJl3tjJsZPVqsVpaWlWLZsmdfjy5Ytw9atW0N0VcFjMpkAAElJSQCAM2fOoKamxut+9Xo9Lr300oi533vvvRfXXHMNli5d6vV4pN/bxx9/jLlz5+L73/8+0tLSMHv2bKxdu1Z5PtLvb/Hixfjyyy9x/PhxAMC+ffuwZcsWXH311QAi//5k/txHaWkpbDab1zGZmZnIz8+PqHuVmUwmCIKgZA0j/f6cTieKiorw6KOPYsaMGT2ej9T7czqd+Pvf/44pU6bgyiuvRFpaGhYsWOBVcgqXe2MQ46eGhgY4HA6kp6d7PZ6eno6ampoQXVVwiKKIn/3sZ1i8eDHy8/MBQLmnSL3f4uJi7NmzB2vWrOnxXKTf2+nTp/Haa69h8uTJ+Pzzz3H33XfjgQcewJ///GcAkX9/jz32GG699VZMnToVWq0Ws2fPxurVq3HrrbcCiPz7k/lzHzU1NdDpdEhMTOz1mEjR1dWFxx9/HLfddpuyiWCk398zzzwDjUaDBx54wOfzkXp/dXV1aGtrw9NPP43ly5fjiy++wA033IAbb7wRmzdvBhA+9zZid7EeKoIgeH0uimKPxyLNfffdh/3792PLli09novE+y0vL8eDDz6IL774wqt+210k3hsg/ZY0d+5c/O53vwMAzJ49G4cOHcJrr72GH/7wh8pxkXp/77//PtatW4e//OUvmDFjBsrKyrB69WpkZmbi9ttvV46L1PvrbiD3EWn3arPZcMstt8DpdOIPf/hDv8dHwv2VlpbipZdewp49ewK+1nC/P7mJ/rrrrsNDDz0EALjggguwdetWvP7667j00kt7fe1w3xszMX5KSUmBWq3uEWHW1dX1+E0qktx///34+OOP8dVXXyErK0t5PCMjAwAi8n5LS0tRV1eHOXPmQKPRQKPRYPPmzXj55Zeh0WiU64/EewOAMWPGYPr06V6PTZs2TWkwj+S/OwB49NFH8fjjj+OWW25BQUEBioqK8NBDDylZtUi/P5k/95GRkQGr1Yrm5uZejwl3NpsNN910E86cOYMNGzYoWRggsu/vm2++QV1dHXJycpSfM+fOncPDDz+McePGAYjc+0tJSYFGo+n350w43BuDGD/pdDrMmTMHGzZs8Hp8w4YNWLRoUYiuauBEUcR9992HDz74AP/85z8xfvx4r+fHjx+PjIwMr/u1Wq3YvHlz2N/vkiVLcODAAZSVlSkfc+fOxapVq1BWVoYJEyZE7L0BwEUXXdRjOfzx48eRm5sLILL/7gBpVYtK5f2jSa1WK78dRvr9yfy5jzlz5kCr1XodU11djYMHD0bEvcoBzIkTJ7Bx40YkJyd7PR/J91dUVIT9+/d7/ZzJzMzEo48+is8//xxA5N6fTqfDvHnz+vw5Ezb3NmwtxCNAcXGxqNVqxbfffls8fPiwuHr1atFgMIhnz54N9aUF7J577hGNRqO4adMmsbq6Wvno6OhQjnn66adFo9EofvDBB+KBAwfEW2+9VRwzZozY2toawisfGM/VSaIY2fe2c+dOUaPRiE899ZR44sQJ8b333hNjYmLEdevWKcdE8v3dfvvt4tixY8VPP/1UPHPmjPjBBx+IKSkp4s9//nPlmEi5P7PZLO7du1fcu3evCEB8/vnnxb179yqrc/y5j7vvvlvMysoSN27cKO7Zs0e8/PLLxVmzZol2uz1Ut6Xo6/5sNpu4cuVKMSsrSywrK/P6OWOxWJRzROr9+dJ9dZIohu/99XdvH3zwgajVasU333xTPHHihPjKK6+IarVa/Oabb5RzhMO9MYgJ0O9//3sxNzdX1Ol04oUXXqgsSY40AHx+/PGPf1SOcTqd4q9+9SsxIyND1Ov14iWXXCIeOHAgdBc9CN2DmEi/t08++UTMz88X9Xq9OHXqVPHNN9/0ej6S76+1tVV88MEHxZycHDEqKkqcMGGC+OSTT3q98UXK/X311Vc+v89uv/12URT9u4/Ozk7xvvvuE5OSksTo6GhxxYoV4vnz50NwNz31dX9nzpzp9efMV199pZwjUu/PF19BTLjenz/39vbbb4uTJk0So6KixFmzZokffvih1znC4d4EURTFoc31EBEREQUfe2KIiIgoIjGIISIioojEIIaIiIgiEoMYIiIiikgMYoiIiCgiMYghIiKiiMQghoiIiCISgxgiIiKKSAxiiIiIKCIxiCEiIqKIxCCGiIiIIhKDGCIiIopI/x8IS5YjszL//AAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(rb0_df[\"收盘价\"])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "7cbec613",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(-1.3313386978453678,\n",
       " 0.6147156917650225,\n",
       " 0,\n",
       " 162,\n",
       " {'1%': -3.471374345647024,\n",
       "  '5%': -2.8795521079291966,\n",
       "  '10%': -2.5763733302850174},\n",
       " 1694.0819641398427)"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ts.adfuller(rb0_df[\"收盘价\"], 1)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "83229ef7",
   "metadata": {},
   "source": [
    "-1.3313386978453678比3个检验值1%，5%，10%都要大，所以无法拒绝原假设H0，即收盘价数据是非平稳的，无法使用均值回归策略"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7ac00cd7",
   "metadata": {},
   "source": [
    "### 2. 赫斯特指数\n",
    "下面介绍赫斯特指数(Hurst Exponent)，是用来衡量时间序列是否有长期记忆的一个指标,也即在一定程度上可以判断当前价格是否和历史存在某种关系。\n",
    "Hurst 指数 > 0.5，说明记忆强，未来的增量和过去的增量相关，继续保持现有趋势的可能性强(trending)；\n",
    "Hurst 指数 < 0.5，很有可能是记忆的转弱，趋势结束和反转的开始(mean reversion)。\n",
    "Hurst指数数值越靠近0.5说明随机性越强，无法判定走向(Random Walk)。\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "90efcb02",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 2.1 首先是赫斯特指数的实现\n",
    "from numpy import cumsum, log, polyfit, sqrt, std, subtract \n",
    "from numpy.random import randn\n",
    "def hurst(ts):\n",
    "    \"\"\"Returns the Hurst Exponent of the time series vector ts\"\"\" \n",
    "    # Create the range of lag values\n",
    "    lags = range(2, 100)\n",
    "    # Calculate the array of the variances of the lagged differences\n",
    "    tau = [sqrt(std(subtract(ts[lag:], ts[:-lag]))) for lag in lags] \n",
    "    # Use a linear fit to estimate the Hurst Exponent\n",
    "    poly = polyfit(log(lags), log(tau), 1)\n",
    "    # Return the Hurst exponent from the polyfit output\n",
    "    return poly[0]*2.0"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "d76ee00a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 2.2 使用2个示例数据进行计算验证\n",
    "fig, ax = plt.subplots(2, 2)\n",
    "## 2.2.1 真平稳序列\n",
    "y1 = log(randn(100000) + 1000)\n",
    "ax[0,0].set_title('randn-hurst:' +str(hurst(y1))[0:8])\n",
    "ax[0,0].plot(y1)\n",
    "\n",
    "## 2.2.2 假的平稳序列\n",
    "y2 = log(cumsum(randn(100000))+1000)\n",
    "ax[0,1].set_title('cumsum-hurst:' +str(hurst(y2))[0:8])\n",
    "ax[0,1].plot(y2)\n",
    "\n",
    "## 2.2.3 趋势\n",
    "y3 = log(cumsum(randn(100000)+1)+1000)\n",
    "ax[1,0].set_title('cumsum+1-hurst:' +str(hurst(y3))[0:8])\n",
    "ax[1,0].plot(y3)\n",
    "\n",
    "\n",
    "## 2.2.4 stock\n",
    "stock_payh_df = ak.stock_zh_a_daily(symbol=\"sz000001\", adjust=\"qfq\")\n",
    "ax[1,1].set_title('stock_payh-hurst:' +str(hurst(stock_payh_df['close'].to_numpy()))[0:8])\n",
    "ax[1,1].plot(stock_payh_df['close'])\n",
    "\n",
    "fig.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "61dd5993",
   "metadata": {},
   "source": [
    "randn-hurst数值接近于0，判定为均值回归；cumsum+1-hurst数值接近于1，判定为趋势；两外2个数值非常接近0.5，判定为随机事件。"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "550182e0",
   "metadata": {},
   "source": [
    "### 3. 协整\n",
    "找到均值回归的股票是比较难的，单个股票的走势更趋向于随机漫步(塔勒布的相关书籍)。那有没有办法在股票之间找到一种关系，来使用均值回归呢？比较简单的一种方法就是构建组合，形成配对交易。如果2只股票之间存在某种线性关系，则可以用来构建配对交易。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 96,
   "id": "681553bc",
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import matplotlib.dates as mdates\n",
    "\n",
    "### 3.1 画价格图\n",
    "def plot_price_series(df, ts1, ts2):\n",
    "    fig, ax = plt.subplots()\n",
    "    ax.plot(df.index, df[ts1], label=ts1)\n",
    "    ax.plot(df.index, df[ts2], label=ts2) \n",
    "    #ax.grid(True)\n",
    "    #fig.autofmt_xdate()\n",
    "    gap = 10\n",
    "    #plt.xticks(ticks =  np.arange(0,len(df)), labels = df.date.dt.strftime('%Y-%m-%d').to_numpy())\n",
    "    xlabel_name = df.date.dt.strftime('%Y-%m-%d').to_numpy()[::gap]\n",
    "    plt.xticks(ticks =  np.arange(0,len(df),gap), labels = xlabel_name)\n",
    "    plt.xlabel('Date')\n",
    "    plt.xticks(rotation=90, size=8)\n",
    "    plt.ylabel('Price')\n",
    "    plt.title('%s and %s Daily Prices' % (ts1, ts2))\n",
    "    plt.legend()\n",
    "    plt.show()\n",
    "    \n",
    "### 3.2 画散点图\n",
    "def plot_scatter_series(df, ts1, ts2):\n",
    "    plt.xlabel('%s Price ($)' % ts1)\n",
    "    plt.ylabel('%s Price ($)' % ts2)\n",
    "    plt.title('%s and %s Price Scatterplot' % (ts1, ts2))\n",
    "    plt.scatter(df[ts1], df[ts2])\n",
    "    plt.show()\n",
    "    \n",
    "def plot_residuals(df):\n",
    "    months = mdates.MonthLocator() # every month \n",
    "    fig, ax = plt.subplots()\n",
    "    ax.plot(df.index, df[\"res\"], label=\"Residuals\")\n",
    "    gap = 10\n",
    "    xlabel_name = df.date.dt.strftime('%Y-%m-%d').to_numpy()[::gap]\n",
    "    plt.xticks(ticks =  np.arange(0,len(df),gap), labels = xlabel_name)\n",
    "    plt.ylabel('Price')\n",
    "    plt.xlabel('Date')\n",
    "    plt.xticks(rotation=90, size=8)\n",
    "    plt.title('Residual Plot')\n",
    "    plt.legend()\n",
    "    plt.plot(df[\"res\"])\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 106,
   "id": "dbbc2243",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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ihIsuukhYvXq1RWVSeXm5sHDhQmHgwIFCVFSUEB0dLQwfPlx49dVXLarBbMH/T/xHq9UKGRkZwjnnnCO8/vrrQkNDQ4fHHDx4UJgxY4YQExMjJCQkCJdccolQUFDQ4W/nTLWUnKVLlwoAhC+++KLzP6oZXi3VGQCE2267ze591v/zwsJC4frrrxfS09OFsLAwITMzU7j00kuF8vJycZ+mpibhkUceEQYMGCBoNBohLi5OGDZsmHDXXXcJZWVlgiAIwqpVq4RZs2YJPXr0EDQajZCamirMnj1b2Lhxo9O/I0F0BYUg2CgLIAjCLe666y588sknHRq7WfP3339j4sSJ+Oyzz3DllVf6aHXBzXPPPYdHHnkEBQUFIdUF+qKLLsLmzZuRl5fnUq8cgiDsQ2kpgvAAFRUV2LRpE1asWNHBLLlu3Tps2rQJY8aMQUREBPbs2YPnn38e/fr1w4UXXuinFQc2b731FgCWDtLr9fj111/xxhtv4Oqrrw6JwEan02Hnzp3YunUrVq5cicWLF1NgQxAehIIbgvAAq1evxu23347TTz8dr7/+usV9sbGx+Pnnn/Haa6+hsbERycnJmDVrFhYtWoTw8HA/rTiwiYyMxKuvvoq8vDzodDrk5OTg/vvvxyOPPOLvpXmE0tJSnHHGGYiNjcVNN92EO+64w99LIoiQgtJSBEEQBEGEFFQKThAEQRBESEHBDUEQBEEQIQUFNwRBEARBhBTdzlBsMplQUlKCmJgYp9uSEwRBEAThXwRBQGNjIzIzMy0aoNqi2wU3JSUlbs27IQiCIAjC/xQWFnbaEqLbBTcxMTEA2B8nNjbWz6shCIIgCMIZGhoakJ2dLX6PO6LbBTc8FRUbG0vBDUEQBEEEGc5YSshQTBAEQRBESEHBDUEQBEEQIQUFNwRBEARBhBTdznNDEARBEL7CaDRCr9f7exlBg0aj6bTM2xkouCEIgiAIDyMIAsrKylBXV+fvpQQVSqUSvXr1gkaj6dLzUHBDEARBEB6GBzapqamIjIykprFOwJvslpaWIicnp0t/MwpuCIIgCMKDGI1GMbBJSkry93KCipSUFJSUlMBgMCAsLMzt5yFDMUEQBEF4EO6xiYyM9PNKgg+ejjIajV16HgpuCIIgCMILUCrKdTz1N6PghiAIgiCIkIKCG4IgCIIgALAqrxtvvBGJiYlQKBSYP38+5s+f7+9luQwZigmCIAiCAACsXbsWS5cuxYYNG9C7d29ERERAEAR/L8tlKLghCIJwFn0roA4HyEtBhCgnTpxARkYGzjjjDH8vpUtQWoogCMIZ6ouBl/oCK27090oIwissXLgQd9xxBwoKCqBQKNCzZ08sXLjQIi3V2NiIq666ClFRUcjIyMCrr76KKVOm4N///re4zzvvvIN+/fohPDwcaWlpuPjii33+u5ByQxAE4Qyle4D2JuDEen+vhAhCBEFAq75r5c3uEhGmcqoK6fXXX0efPn3wf//3f9i2bRtUKhXuvfdei33uvvtu/PXXX/j++++RlpaGxx57DDt37sTIkSMBANu3b8edd96JTz75BGeccQZqamqwceNGb/xaDqHghiAIwhmaK9m2pRpoawDCY/27HiKoaNUbMfixn/zy2gefmolITedf93FxcYiJiYFKpUJ6enqH+xsbG/G///0Pn3/+OaZPnw4A+Oijj5CZmSnuU1BQgKioKMydOxcxMTHIzc3FqFGjPPfLOAmlpQiCIJyhpUq6XJvnt2UQhL84efIk9Ho9xo8fL94WFxeHAQMGiNdnzJiB3Nxc9O7dG9dccw0+++wztLS0+HytpNwQBEE4Q7M8uDkFZAz331qIoCMiTIWDT83022t7Al41ZZ3ikldTxcTEYOfOndiwYQN+/vlnPPbYY3jiiSewbds2xMfHe2QdzkDBDUEQhDM0k3JDuI9CoXAqNRTI9OnTB2FhYdi6dSuys7MBAA0NDTh27BjOOusscT+1Wo2zzz4bZ599Nh5//HHEx8fj119/xYUXXuiztQb3X5ogCMJXcM8NANSc8t86CMJPxMTEYMGCBbj33nuRmJiI1NRUPP7441AqlaKas2rVKpw8eRKTJ09GQkICVq9eDZPJZJG68gXkuSEIgnAGUm4IAosXL8aECRMwd+5cnH322Zg4cSIGDRqE8PBwAEB8fDxWrFiBadOmYdCgQXj33XexbNkyDBkyxKfrJOWGIAjCGVqsPDcEEYL8+9//tuhZo9PpEB0dLV6PiYnBZ599Jl5vbm7Gk08+iRtvZP2fJk2ahA0bNvhquXYh5YYgCKIzBMFSuakrBIwG/62HILyMwWDAwYMHsWnTJgvVZdeuXVi2bBlOnDiBnTt34qqrrgIAzJs3z19LtQkFNwRBdC/cmZPTVg+Y9OyyMgwQjEBDkWfXRRABxP79+zF27FgMGTIEN998s8V9L7/8MkaMGIGzzz4bzc3N2LhxI5KTk/20UttQWoogiO5DWz3w3mSg/7nArBecfxxXbbSxQEw6UHWUmYoTenplmQThb0aOHGmzP82oUaOwY8cOP6zINUi5IQii+1BxiJmBD6927XG8UioySQpoyFRMEAELBTcEQXQfjO2WW2fhZuKoFCChF7tMpmKCCFgouCEIovtgNPtmjDrXHseVm6gUIJEHN3keWxZBEJ6FghuCILoPJnOFEw9ynKW5mm2jkoBY85DAhlLPrYsgCI/i1+BmyZIlGD58OGJjYxEbG4sJEyZgzZo1Dh+j0+nw8MMPIzc3F1qtFn369MGHH37ooxUTBBHUiMqNi2kpuXITbZ6W3FTuuXURBOFR/FotlZWVheeffx59+/YFAPzvf//DvHnzsGvXLrvdDC+99FKUl5fjgw8+QN++fVFRUQGDgfpNEAThBHLPjSAAVgMA7SIaipOBmDR2uanctecgCMJn+DW4Oe+88yyuP/vss1iyZAk2b95sM7hZu3Ytfv/9d5w8eRKJiYkAgJ49e/piqQRBhAIm2YmQUQ+oNc49Tm4ojjYHN4Y2VloeEe/RJRIE0XUCxnNjNBrxxRdfoLm5GRMmTLC5z/fff4+xY8fixRdfRI8ePdC/f3/cc889aG1ttfu8Op0ODQ0NFj8EQXRT5F4buam48giw+j6g3k5jPt7nJioJCIsAtHHselOFd9ZJEAFIXl4eFAoFdu/e7e+ldIrfm/jt27cPEyZMQFtbG6Kjo7Fy5UoMHjzY5r4nT57En3/+ifDwcKxcuRJVVVW49dZbUVNTY9d3s2jRIjz55JPe/BUIgggWTPLgRnZ58xJgx0dAyU7g+p8Apcrycc0y5QZgqSldPdBUBqT09+6aCYJwGb8rNwMGDMDu3buxefNm3HLLLViwYAEOHjxoc1+TyQSFQoHPPvsM48ePx+zZs7F48WIsXbrUrnrz4IMPor6+XvwpLCz05q9DEEQgY6HcyEzFbXVsW7QN+PtNy8eYTFJaKtLcYp6nphrJVEyEHiaTCS+88AL69u0LrVaLnJwcPPvss+jVi7VBGDVqFBQKBaZMmQKAzaG68847ER8fj6SkJNx///1YsGAB5s+fLz7n119/jWHDhiEiIgJJSUni6AZv4XflRqPRiIbisWPHYtu2bXj99dfx3nvvddg3IyMDPXr0QFxcnHjboEGDIAgCioqK0K9fvw6P0Wq10Gq13vsFCIIIHuTBjUGWltLLTo5+exYYfD6Q2Jtdb60FBBO7HJnEttEyUzFBOIMgAPqO4wx8QlikS8b3Bx98EO+//z5effVVTJo0CaWlpTh8+DC2bt2K8ePH45dffsGQIUOg0TDP2gsvvIDPPvsMH330EQYNGoTXX38d3377LaZOnQoAKC0txRVXXIEXX3wRF1xwARobG7Fx40YI7sx5cxK/BzfWCIIAnc52g62JEydi+fLlaGpqEkewHz16FEqlEllZWb5cJkEQwYi9tFS77AzS2A6c+sMyuAHYXCluQI7h5eBl3lsrEVroW4DnMv3z2g+VAJoop3ZtbGzE66+/jrfeegsLFiwAAPTp0weTJk1CXl4eACApKQnp6eniY9588008+OCDuOCCCwAAb731FlavlkaclJaWwmAw4MILL0Rubi4AYNiwYZ74zezi17TUQw89hI0bNyIvLw/79u3Dww8/jA0bNogj1B988EFce+214v5XXnklkpKScN111+HgwYP4448/cO+99+L6669HRESEv34NgiCCBXuGYn5GHZPBtg0l0n06cxGCNla6LTqVbclQTIQYhw4dgk6nw/Tp053av76+HuXl5Rg/frx4m0qlwpgxY8TrI0aMwPTp0zFs2DBccskleP/991FbW+vxtcvxq3JTXl6Oa665BqWlpYiLi8Pw4cOxdu1azJgxAwCL9goKCsT9o6OjsW7dOtxxxx0YO3YskpKScOmll+KZZ57x169AEEQwYVEKLvPctJuDm+R+QGMpUF8s3ScGNzHSbbyRXyMpN4SThEUyBcVfr+0k7goFCqu0lzzlpFKpsG7dOvz999/4+eef8eabb+Lhhx/Gli1bRB+Pp/FrcPPBBx84vH/p0qUdbhs4cCDWrVvnpRURBBHSyAMauYqjN6elkvqxlFSDrCRc18i24TLlJoY8N4SLKBROp4b8Sb9+/RAREYH169fjhhtusLiPe2yMRqN4W1xcHNLS0rB161aceeaZ4v27du3CyJEjxf0UCgUmTpyIiRMn4rHHHkNubi5WrlyJu+++2yu/R8B5bgiCILxGZ4biZHNZt4VyYw5uLJQbCm6I0CQ8PBz3338/7rvvPmg0GkycOBGVlZU4cOAAFixYgIiICKxduxZZWVkIDw9HXFwc7rjjDixatAh9+/bFwIED8eabb6K2tlZUc7Zs2YL169fjnHPOQWpqKrZs2YLKykoMGjTIa78HBTcEQXQfOk1LscpNNBRLoxXabKWlzMFNay0LktRUkUmEDo8++ijUajUee+wxlJSUICMjAzfffDPUajXeeOMNPPXUU3jsscdw5plnYsOGDbj//vtRVlaGa6+9FiqVCjfeeCNmzpwJlYr1i4qNjcUff/yB1157DQ0NDcjNzcUrr7yCWbNmee13oOCGIIjug9FGtZS8RDfJ3E5C38J630QkyJQbWVoqIgFQaViA1FQOxOd4fekE4SuUSiUefvhhPPzwwx3uu+GGGzqkq9RqNd588028+SbrEWUymTBo0CBceumlAFjLlrVr13p/4TL83sSPIAjCZ1h4bsxpKX0rALP5MTJR6mXDU1O2DMUKhaTeFG0DNi6WgiCC6Gbk5+fj/fffx9GjR7Fv3z7ccsstOHXqFK688kq/rYmCG4Igug/WgzMBy8ZqYZFAbA92ucE6uJEpN4AU3Ky4CVj/JLDnC8+vlyCCAKVSiaVLl2LcuHGYOHEi9u3bh19++cWrnprOoLQUQRDdB1uGYh7cqLRsplRsD6BsrzRE01a1FCA18uONAaksnOimZGdn46+//vL3Miwg5YYgiO6DycZsKW4m1ph7gcRx5cbck8RWtRQgNfLj8PlUBEH4HQpuCILoPtgyFPMeN2HmHiTWaSlb1VIAkDGCbSMS2ba1zqNLJYIfb85OClU89Tej4IYgiO6DrfELHZQb85w667SUtedm1DXAzX8C5zzNrrd6t508ETyEhYUBAFpa/DQoM4hpb2eKKi8jdxfy3BAE0X2wlZbiDfzCzG3nY83DDUVDsZ3gRqkC0ocBdeYRMZSWIsyoVCrEx8ejooLNHouMjOwwnoDoiMlkQmVlJSIjI6FWdy08oeCGIIjug4WhmAc39tJSJawHjq6eXbdOS3EiEtiW0lKEDD41mwc4hHMolUrk5OR0ORik4IYgiO6DrQ7F1mkprtwY2oCWavvVUpzweLaltBQhQ6FQICMjA6mpqdDr9Z0/gADA5lcplV13zFBwQxBE98GiiR9XbszBDZ+crNYCUalAcwVQdQwQTOx2u8pNPNu21UsjGwjCjEql6rJ/hHAdMhQTBNF9MNoqBTenpeQTm7l6U3mIbRUqKfixhqelBCN1KSaIAIGCG4Igug+20lLWhmJAqpiqMAc32hj7ikxYBGsACJCpmCACBApuCILoPjg0FMuUGW4qFoMbO34bDk9Nke+GIAICCm4Igug+2PLciIZiWVqKdymuPMy29vw2HNFUXNfVFRIE4QEouCEIovtgMy1lZSgGJOWmuZJt7VVKcbjvJpTTUqV7gB/+DTSW+3slBNEpFNwQBNF9cGQothXccDpTbsS0VF1XVhfY/PESsOMjYC9NPycCHwpuCILoPjjqUKyRBTdx1sFNJ8pNd+h1U36QbesK/bsOgnACCm4Igug+GOVpKT4400ZaKiYDgKw6qlPlJsTTUvo2oPYUu8zHUhBEAEPBDUEQ3Qe5odjAB2fa6HOjCgOi06Tr3T0tVXVUambIB4oSRABDwQ1BEN0Hm2kpG8oNYJma6sxQzNNSoarc8KoxgJQbIiig4IYgiO6BySSpD4CNJn5WwY3cVNzd+9zwfj8Am7elb/PfWgjCCSi4IQiie2CyGl7YYfyCo+DGSc9NqKal5MoNQOoNEfBQcEMQRPdA7reRX3cmLeVstVSopqXkyg1AwQ0R8FBwQxBE98BopdwY2gGTETCYUyxyQzHgonITz7ahmJZqbwFq89jltKFsW0/BDRHYUHBDEET3QN6dGGDKDVdtAMvBmYA0PBNwoRS8gXl7QomqowAEIDIJyBjBbmugiikisFH7ewEEQRA+wVq5MbZLZmIAUFsFN7GZ0uXwOMfPzdNSEABdvRTsBDO6RuDPV9nYBQBIGSSpWQ0l/lsXQTgBBTcEQXQPbBmK5aMXlFZCdnQ6oIlmAVBkkuPnVmvYc+hbmKk4FIKb1fcBez6XrmeMkHxIlJYiAhwKbgiC6B7YVG7smIkBQKUGrvwS0DVJnhpHhMebg5taAL26uFg/c2QNC2wUSuCMO4CIRGDUNUDJLnY/GYqJAIeCG4Igugc8uFGGSSpOWz3bWpeBc3pOcv75IxKAxpLgrZgSBOCHO4GS3ZKBeMLtwIynpH14qo66FBMBDgU3BEF0D3hAo4mSAhBe3WRLuXGVKHPqqqmi68/lD6qPAzs/lq6nDASmPmy5D09LtdWxlJ51hRlBBAhULUUQRPeAD82UfyHzpnueCG7ic9mWqx7BRmMZ28ZlA1evAK5bA4SFW+6jjWU+JIBMxURAQ8ENQRDdA960Tx3OvCSApOB4QoFINPtsgjW4aSpn2/hcoO90IDKx4z4KhVQxVV/ou7URhItQcEMQRPeAp6VUYYBKwy57UrlJ6Mm2Nae6/lz+gCs3MWmO90vux7Zl+727HoLoAhTcEATRPZAbilVadllUbjwR3ISIchOd7ni/rHFsW7TVu+shiC5AwQ1BEN0D3qFYpWbqDeBZQzFXbprK2MiCYEMMblId75c9nm0Lt7IKK4IIQCi4IQiie8A9NyoNoDYrN/wL3RNN9yISAK25k3Fdftefz9fwv0VMJ8pN5ihAqWb71xV4f10E4QYU3BAE0T2wSEuZlRte8ROV3PXnVyiAxJ7scjCmphq5ctOJ5yYsAkgfzi4XUmqKCEwouCEIontgkZYyG4p5cBPpgeAGCG5TcZPZUNxZcAMA2aexLfluiACFghuCILoHtgzFfPxCVIpnXiNYTcUGneQ/6iwtBVj6bggiAKHghiCI7oFFKXiY5X0eC256sm1tkCk3vKuyMsw5/xEPbsr2ScNHCSKAoOCGIIjugVEW3HBDMSeqk6nfzhKsjfyaZH4bhaLz/eOyWMm4YAQqDnl3bQThBhTcEATRPbBlKOZ4XLnJB0wmzzynLxArpZzw23CS+rJtMPqLiJDHr8HNkiVLMHz4cMTGxiI2NhYTJkzAmjVrnHrsX3/9BbVajZEjR3p3kQRBhAa2OhQDgDrCcwMgY7NYmbRRxyaEBwu8O3FnDfzkBGsKjugW+DW4ycrKwvPPP4/t27dj+/btmDZtGubNm4cDBw44fFx9fT2uvfZaTJ8+3UcrJQgi6BGVG7VkKAY8p9oArBKLVxtxNSQY4J4bV5SbYC57J0IevwY35513HmbPno3+/fujf//+ePbZZxEdHY3Nmzc7fNxNN92EK6+8EhMmTPDRSgmCCHpEz43GMi3lKb8Nh6tAwdSl2JUycA6vDKO0FBGABIznxmg04osvvkBzc7PDoOWjjz7CiRMn8Pjjjzv1vDqdDg0NDRY/BEF0Q0x2DMWeVG4AWXATRFVEzjbwkxOsZe9Et0Dt7wXs27cPEyZMQFtbG6Kjo7Fy5UoMHjzY5r7Hjh3DAw88gI0bN0Ktdm7pixYtwpNPPunJJRMEEYxYpKXkyo2Hg5swc3CjD6LgxtnRC3K456axBNC3ss7FBBEg+F25GTBgAHbv3o3NmzfjlltuwYIFC3Dw4MEO+xmNRlx55ZV48skn0b9/f6ef/8EHH0R9fb34U1hY6MnlEwQRLIgdiq0MxZHeSksFYHCjawKOr5cCPY6zQzPlRCYC2lh2mWZMEQGG35UbjUaDvn1ZSeHYsWOxbds2vP7663jvvfcs9mtsbMT27duxa9cu3H777QAAk8kEQRCgVqvx888/Y9q0aR2eX6vVQqvVdridIIhuhq0OxYAX0lLmCeOB6Ln57Tlg89vA3NeAsdex20xGyVDsSrWUQgEk5LJGfjWngJQBHl8uQbiL34MbawRBgE6n63B7bGws9u3bZ3HbO++8g19//RVff/01evXq5aslEgQRjMinglukpTw0V4ojKjdNnn1eT3ByA9tWH5duayxlfiRlmGtpKYD5bsr2ke+GCDj8Gtw89NBDmDVrFrKzs9HY2IgvvvgCGzZswNq1awGwlFJxcTE+/vhjKJVKDB061OLxqampCA8P73A7QRBEB+SDM71pKBY9NwGm3LTVAxXmlH9zlXQ7r3aKzwGUKteek3rdEAGKX4Ob8vJyXHPNNSgtLUVcXByGDx+OtWvXYsaMGQCA0tJSFBRQLpcgCA9gkZaSeW68ptwEmOemeAcAgV1urpRu56pLohvqd7COmyBCHr8GNx988IHD+5cuXerw/ieeeAJPPPGE5xZEEEToIi8FN8nSUpGeDm645ybAghv5BO8WmXLDVReuwrgCfwz1uiECDL9XSxEEQfgE+eBMC0Oxp4ObaLYN5OBGnpbiqkuCG8oNf0xdkM3SIkIeCm4Iguge2BqcqYn2fH+WMLNyE0ieG5MJKNouXW+uAgRziqqmC8pNXBbbGtqA1touLZEgPAkFNwRBdA9sdSj2tGoDBKbnpuoIoKsH1OHsulEH6BrZ5a54blRhklKlq+/yMgnCU1BwQxBE98CiQ7HZUOxpvw0QmMENLwHPGidVczVXsgqq1hp2PT7XvefmjfzaKLghAgcKbgiC6B7IPTc9xgARCcCAcz3/OpoAKwVvKAU2PM8uD5glqVUt1ZJqE5UCaKPde/7wOLal4IYIIAKuiR9BEIRXMMmmgif3A+49CSi9cH4XFiDKTc1JNhbh7zeBtjogYyQw/kZg/wpmAG6ulAI+d8zEHDG4sTGU2GQEKo8AKQO987cmCDtQcEMQRPdAbigGvPdlGwhpqbpC4M2xgGBk11Ua4IJ3mWrFlZvmKikl5Y6ZmBPuIC219f+AtQ8A574AnH6z+69BEC5CwQ1BEN0DeYdibxIIfW6qj7HARh0OJPVjgUXqIHafGNxUAvXmQcLumIk5jtJSeX+ybfH2jvcRhBeh4IYgiO6BtXLjLXj1kFEHGA3eD6Zswcuye4wFrvvR8r5ImXLTlTJwDg9udDbSUpWH2Zaa/PmHoz8BEYlA9jh/r8TnUBKUIIjugXxwpjfhfW4AQO8n9aa1jm0j4jvex2dptVQB1SfY5a54buxVS+nbmO8HoPEM/qCxHFh2ObDsMqmnUTeCghuCILoHvkpLqbWAwjyAst1PFVNtdWwbHt/xPp6WKtsHNBQBCiWQPsz917KXlqo6CgjmrsUtVVJfHcI31BWwv39LtW1VLcSh4IYgiO6Br9JSCkXXTcWblwBb/k96jlV3AUd/dv7xPC1lU7kxBzc8ZZQ2xP0ycMB+tRR/fg6pN76lqUx2ucJ/6/ATFNwQBNE9kHco9jZirxs3gpu6AlZhtOZeljba+Qmw/UNg+QIpzdMZjtJS1o0Ls09zfY1y7FVLVRyyvE6+G9/SWGb7cjeBghuCILoHRh8GN2FdqJiSD7g8sBI4sIJd1rcA397m3IBKh2mpFMvrWeNdX6Mce2kpUblRsA0pN75FrtY0lftvHX6CghuCILoHvkpLAbK0lBueG3lws2MpULgFgII1Byz4G9jxYefPISo3CR3vs56n1dVKGh5AWc+W4spNtjl4qiXlxqdYpKUouCEIgghN/JGWam9y/bGFW6TLvA9NzgTgrHvZ5cOrO38OHtzYUm7UWqnCKSqla5VSgO1qqfYWSakZMIttSbnxLY2ygIbSUgRBECGIySRV7vhSuXF1vlR7M6tiAoDUIdLtQy5gAQ7Q0ahrC56WsqXcAEBkEttmjWcG6K4gNxTzlFnVUQACex2e9iLPjW+RqzXWyg0PfkMYCm4Iggh9uGoD+Kapnruem5JdrLNwTCYw4VbzjQpg8PlsPhMANBR3PqTSkaEYkHw32V302wBScANBUqp4AJYySGoQWF/ImhoSvsFecLP/G+CFXGDbB75fkw+h4IYgiNCHN/ADvN/ED5C6FLsa3HC/TfZ4YPA8oOeZwITbgJh0FqjEZLD7K4/Yfw6jHmg395SxlZYCgBGXs8Bj6IWurc8WYeHS35QHXbX5bJvYi61ZpWV9hhqKuv56ROeYTJaGYnmKqmAz2+b/5ds1+RgKbgiC6IihHTj+C6BzwzMSiBhlyo1P0lJuKjfy4EYbAyxcBcx8VrqfqzfWZdZy5KqOqKpYMe4fwG2bgfgc19ZnD+uKqYZito3LYgNKE3LZdUpN+YaWamloKmBpLub+m/pi367Jx1BwQxBER3Z/Bnx6EbDxFX+vxDOYZOkQpcr7r+eu56ZkJ9tm2algSh3Mto58NzwlpY313Vwr6/lSPLiJ7cG23LRMpmLfwIMZlZZtW2sBg858n1nFaSjx/bp8CAU3BEF0hJfthkr5rr6VbdXhXTfQOkOYG9VSRoP0xWOvgimVKzcH7T+Pox433sK6YoqrAnE8uOnJtqHyfgp0+Psoqa+kVPI0Fb+vsQQwGTs+NkSg4IYgiI7wVvq8jX+wY2hjW3W4b17PnT43rTXmCwogMtH2PimD2LbChnJzaBXrZiyOXrCTkvIG9tJSXLlJJOXGp3CPTUwaEJ3GLjeVswGa/D6TIaTHMlBwQxBER/iXVKiUjHLlJizCN6/njuemuZJtIxPtp85SBrBtU5ll4FmwBfjyauD724GS3ew2Xyo38nLwtgYpPRVrpdyQ58Y38LRUdDoLcAAW3OgaAEOrtF9D6PpuKLghCKIjPLjhKY5ghys3PgtuzNVSrsyWaq5iW+vZT3LCY4HYLHaZqzftLcC3twAQ2PX8P9nWXo8bbyCfL8W9HOFx0kBOuedGEHy3ru4KV2Tkyk1jWUelJoSDGx+5zQiCCCpE5SZE0lKi58ZHwY07fW64cmM9+8ma1IGspPqbG1gAoWsE6guk+wu3sa29HjfeQFRu6qRybx6EAVK1lK6Bvafspd0Iz8AroqLTJPW1qbxjp+IQrpgi5YYgiI7wtIK862wwIyo3Aey5aalmW+vZT9bkTmTbhiKg4oA5sFEAvaey27la5I+0lK5B+sKMzZTuD4uQevSQqdj7cIUm2spzY92pmJQbgiC6FWKvFIENRPRlisMb+Fq5EZv4uVAtJSo3nQQ3E/8F9JxkWWYenQbUFQAnf5Nu86Vyo5UZinlaildKcRJ6AY2lzHfTY4zv1tZdMJlYTyFA8tzEpEup5UYbwU29F5oqCgJ7L8ZlS+vxAxTcEATREXkjuNa64A9ufK7cmNNSrvS54Z6bztJSSpXtsQk8FcbxqedGHtzYSEsBzFRc8DdVTHmD318C/n4T+MfPzHTOK6LkaanGUiktFZvF/k/e6HVTXwS8Ppwph/ed9E1fKRtQWoogCEsMOikYAELDdyPvc+MLxLSUO9VSSe69Zly21F8H8F+1lHWPG45YDk5pKY9zfB1TWA99z4JHfTPrbxPbA0jszfapOioFMz1Gsa030lK8wWRMht8CG4CCG4IgrOE9bsTrdX5ZhkfxdbVUmKxDsbOeJWeVG3solVKpOOBjQ7G8WsqG5waQNfLL99myug38M1u4VRrhkTmSKZXJ/VnwqW8BTm5g9/G0YGOpNMy0tdYzpfq8wSRvOOknKLghCMIS64nTodDrhqeHfK3cAM77blp4cNOJ58YRqYOkyz5Vbsyv1Vgm+Tg6pKXMyg31uvE8/DNbtBUoNA/GzDKnLpVKaZwHf4+lDwOUakAwSf6cj+cDb43teqqKtyhIGeR4Py9DwQ1BEJborIKbUFBu9L5WbiKkkQTOflk4WwruiBTZ2bIvPTfJ/Vmrf32zFEjaU24aiqU5R4RnEPtS1QP7V7DLcl9W9mmW+8dksh+AvT+bKoHS3axrsaPRHs5QaR7qSsoNQRABRQflJgQ8N74ev6BQuDZPydAu/d0dNfHrDLly48u0lEoNzH8XUJi/UiISJVM1JyrZXEVmrqYhPIPRYNkskp+MyIMb60Gs0WlS8FlfxBQfTld635hMQOURdpmUG4IgAoqQTEv5ePwCIAtu8jrfl/e4USi7prikDWFbdbhUnu0rsscBZ9zBLvPfXY5CAcSbm/nVke/GY+gaOt4Wl22pnPUYIwWeyjDWRDE+m12vPAIUbpH27Upaqr6AKXcqjWRk9hNUCk4QhCWhbCj2lXIDSNVBznhMuBciMqlrvUFiM4H5S5jnxx89RqY+zNJqOWfYvp93JrYOoAn3sfX5tFZqwmOB1MFA+X6m2ijMTR/3LWcVVuGyQLihC71vKswpqeT+TM3zIxTcEARhSSimpUTlJtLxfp7ElnLTUAKsfwoYdQ3QcyKQvwnY9QnQZxq7vyt+G87IK7v+HO6i1krqjS20MWyra/TNeroD/GREEy2Z1609NgBLU5XvB6JT2fWBs4EfwpjHRiEr2XYlLXVkLbD9A2ZMTuwjvX9T/Ou3ASi4IQjCGh7cRCQCrTWhkZbydRM/QDYs0qzcmEzAihuBvI3AsZ+BBauAL69iKam8jWwfd3vcBAsU3Hge/nmNy2bBZdk+oPdZHffrPQXY/qHULiAigQXVx34CBKO0nyu9b357hr0eAOAXqTO3n83EAHluCIKwhh8s+bDDUEhL+Xr8AmDZ18VkYme4PIhpqQbenyp5bbjB1hPKTSDDK8isU5+E+/DPa3gccMUXwD/XWxrLOYPOB65eAZz7vHTbkAuky4l92La+2PnJ7XyG1QizWsiVIz+biQEKbgjCMbpG4P+mAOuf9vdKfAc3KHLzZ2sI+CP8odzEZTO536gDircD6x5jt4+7gfUYMbSxrdwHFPLBDSk3Hod/XsNjgdgMIHOU7f0UCqDvdMsquoGzmfkXkAIdfbNzniiTSQrOpz0CDJwr3WcruPIxFNwQhCMKtwAlu4AdS/29Et/BD2zxOWwbSp4bXyo3KrVUkbLheVZFkjUemPUSMO1Rdvu0R4EBs6THdKWBXzBAwY3nkSs3rhIexzxaKi0w7GKpUs+Z1FRbHeuLA7D37dxXWUCf3N92tZyPIc8NQTiCl0W2VLFGcL488/cXYlqqJ9u2N7JeGn6ufugS/lBuAOa7qc0DTqxn10dfy6qYJv2bXY5MBA5+BxxYye4P9eCGj2mwbhRJuE9XghsAmLOYparCIlhX6dZadtzjbQXswceFaOOY1yc6Fbh9G1Mj/ThTikPKDUE4Ql450OiFCbqBCPdDcOUGCP7SXX8oN4DlGaxSDQycI13nZdF9Z0izqLrSwC8Y4J4bUm48B/9s8r+tqyhVUv8nPuy03olycFvjQsIiAFWYe+vwMBTcEIQj5D0futK5M5gQO+UmAhpzGiHYTcViKbiPlRve6wZgfUV4QCNHEwlMfQjImWC7yiWUoLSU5+EnI+4qN3JizcGNM2kpcVxIYAbkfg1ulixZguHDhyM2NhaxsbGYMGEC1qxZY3f/FStWYMaMGUhJSRH3/+mnn3y4YqLbIQ9oujpQLlgQZe54yXwY7L4bsYmfr5UbWXAjr0yx5ozbgevXeuYLKpCxrpYq2weUd3GWUXenq2kpOVy5kR/rCjYDjeUd9+3qFHsv49fgJisrC88//zy2b9+O7du3Y9q0aZg3bx4OHDhgc/8//vgDM2bMwOrVq7Fjxw5MnToV5513Hnbt2uXjlRPdBvmHvCudO4MFk5F5bAB2sBSDmzp/rcgz+Eu5STKX1yrDWGVKd0eu3OhbgQ/PBT46FzDq/buuYEYMbtxMS8mJtUpLndwAfDgTWHljx32bZV21AxC/OgTPO+88i+vPPvsslixZgs2bN2PIkI5mptdee83i+nPPPYfvvvsOP/zwA0aNslP+RhDuIgiW8mx3SEvJ59RoY5l6AwR3WspkBEzmL09fKzepg1mZbHxP307pDlREQ3ED0Fgq9UVpqQFi0vy3rmBG50HlxjottedLti3cykq/5SM9WgJbuQmY8gej0Yjly5ejubkZEyZMcOoxJpMJjY2NSEy0kcc2o9PpoNPpxOsNDdQ8irCibD+brzLxX2wmD6etXjr4Aq517gwGDv3AOuUCQO5EYMTl0lmgOgJQa0IjLcVVG8D3yo1CAUy+17evGcjwtJS+xTLV0UrBjdvI08hdRTQUFwMGHXD4R3Zd38KGYsoN8gHuufF7cLNv3z5MmDABbW1tiI6OxsqVKzF48GCnHvvKK6+gubkZl156qd19Fi1ahCeffNJTyyVCkfVPsRbkCT0t5/JYBzOhFNwY9cA3/wQM5i/+nR8DMRmSusDPAiPMJw5cgg5GuN8G8L1yQ1jC01KANJYCYMoN4R5drZaSE9uDNfUztAI//seyZL/isFVwE9jKjd+rpQYMGIDdu3dj8+bNuOWWW7BgwQIcPNi5wWzZsmV44okn8OWXXyI1NdXufg8++CDq6+vFn8LCQk8unwgF+GBD+YBDQPLb8A6yoZSWqjnJDmBhkUC/mey2726XAjiePuDl4HX5vl+jp+DKjUrrn0nZhIQqTAowa05Kt7dScOMWJpNUeeaJtJR88OmuTyzvqzxkeb3ZRil4AOH3T7pGo0Hfvn0xduxYLFq0CCNGjMDrr7/u8DFffvkl/vGPf+Crr77C2Wef7XBfrVYrVmPxH4IQkftqrIMXbqrj7cxba4D2Ft+tzZtUmA9UKQOBiz9gQUx9AbDyJnY7P1DyUuaaUx2fI1jwVwM/wjZcvZEHN6TcuEd7E5vIDXiu0u6s+4FUmee13zlsW3HYcj/uuQnQ3kx+D26sEQTBwiNjzbJly7Bw4UJ8/vnnmDNnjt39CMIpdA2Sr8ZeGip1kNRkLVTKwXlwkzqIfdnMewdQKCWJO8U81Vcc/pjn6xV6Dn818CNsYyu4IeXGPfjnVaXxXPCu1gIXLGGKdfIAYNQ17Ha5cmMySnOlAjQt5VfPzUMPPYRZs2YhOzsbjY2N+OKLL7BhwwasXbsWAEspFRcX4+OPPwbAAptrr70Wr7/+Ok4//XSUlZUBACIiIhAXF+L9IQjvYNHHRnZZEKT7Ynswo13VUbZPcl/frtEbVMqCGwDodSZw21ZWwaJUAz3Gstt5n5amMqZaaSJ9v1ZnsK7kkGOl3JhMApRKhY8WRnSApzxJuXENPqlbIXvv6jzYwE9Oxgjgjp3s895sDmIqj0qfs9ZaSTGy1ZgyAPCrclNeXo5rrrkGAwYMwPTp07FlyxasXbsWM2bMAACUlpaioKBA3P+9996DwWDAbbfdhoyMDPHnX//6l79+BSLYsS71FgTg04uBt8ayBmMAEJflWufOYIBLzCmy6b3J/YBek4HcM1ilFMAMxlrzgTNQfTd5fwKLegDbP7R9v0y5qW/R4/RF6/HAN3t9tz7CEq7cyEd6UHDjmJYaYPFg4KtrWIDB8WQDP2vierDPf2Iv5lcztAJ1eew+7reJSAiYcQvW+FW5+eCDDxzev3TpUovrGzZs8N5iiO6JfIaKvpmlX46vs9yHKzdAaJiKDe1AzQl2OXWg430VCiCxJ1C6h/1tUgc53t8f7P+Glaqe+BUYe33H+2XKzdGKRlQ06rDxWBBXfwU7tqp6KC3lmLw/2Wy7QyXAtveB08zeOE9WStlDqQJS+rOTvYrDQGJvWRl4YKakgAD03BCET7H20Bz/peM+sZmSclO8Hcj7i03JDlaqjwMmAzsg8t/LEdx3U3OKnUEeX8/+ToFiMi7cyrb2uijLlBu9gZ316gwm2/sS3sfWFzEpN46plJl51z0OVJtPTryp3MjhCi9PZwe4mRig4Ibo7linmY6vZ1uVRrottgdLTQHA0bXA0tnAxld8sz5vwA9QKQMs8/f24L6b2lPAJ/OBTy8EPr0IeGcCy8P7k7YGoMLcOsJeF2XZ6AWdkQU1eiMFN35D3uuGQ8qNY/h7nPeg+fZWZur15NBMR3CFl88BC/AycICCG6K7U281L+rUH2w77gaW4pj6MDOiDpgN9JkOxJqDnPJ9vl2nJxH9Np2kpDhcuTn2M0tPKdWs4Z+hFfj2Zv+qWMU7JGOjPeXG0FG5aSflxn/YmoFEyo1j+Gf23EWAJhoo3AxsXuLZuVKOyBjJtsXb2ZaCGyLgKN4JHP3ZuX3rCoBdnzKPRqjC01LJA9hW38y2aUOBua8CZ93HrkclA9esYAcXwPaU3GCBnwU665/hvW54OXi/c4Ab1jOjcfEONlRvwwtAue2Bt12i6jiw72upUuTEb8DJ36X7i7ZJl+2mpSTPjd7InqedlBv/YVO5qbU0yhISRj1LJQPsszfzWXaZd1YHvK/cZI0FoGDHgKYK8twQAYa+jaUVll0G1DpR+bLuMeC729g2FJE38Mseb3mfPaNtTDrbNpV5b13ehpfg8oCuM+Qt1wFgyAXMYD3reXZ9/zfAhueAFTd5bIkA2P/ny6uAb/7BFLXWWuDzS9l7mPtsCrdI+7c32laR5MqNOagxmgQYTYJn10s4hzy4iclkW8Fo2eqfkKg+wQa/aqKBuGxg9AKmIht1UnAfZb9Lv0cIj5NOhgq3SscQCm6IgOD4OiZjCiag8kjn+9eZy/C3LGFu/VCjtZZV2QBA1jjL++x98Uebh/s1VUhqQrDB8/TO9qeIzWKpKICVhA6YxS6PuAKY/bLU5KviIBu25ynK90tGypJdrPGgsZ29f1feDLQ3Wyo3gGV5MUem3MjTUZSa8hNyQ3FcD6lBJqWmbGPtkVMogAv/j41JGHcDcOZ/gFFXe38d/Bh5dC2Qt5Fd7j3V+6/rJhTcdCcOrJQuO9NxVn6w+fZWy+nKzrLva2D1vYFZXcRVm8gkVt7Iic8FtNG2H8ODG0Ob7S/SYIB3ZNbY+R2tUanZGSMA9JshnXkrFMD4fwLnv8lSVIJRks8BoHQv8O1t7g/dlL9fKw9LXZUBVsr+f1PZ/0AdwWZkAbanl4vKTbhFOoqCGz8hD24ik6UgO5gnz3sT7reRp5GjkoFzngHmvAJMf8w3jfSyT2Pb3Z+zasv0YQHd0JSCm+5CewtwZK10vdaJMl5ewaDSsAZu+X+5/rrrHgO2/p97j/U23G8j72MDOPaihIVL+e2mIPTdCIIsuIly/nE9xrCtfGo6R6GQ0njyAGTNfcDuT4HtH7m3TnlwU3FIUnEyR7NtlVl97DmJBaiA7YopUbmJtKiS0hmNrq+L6DrytFRUsjSJnpQb24jKjZ97TPHUvWD+3Ay5wH9rcQK/NvEjfMjxdZJZFuhcuTEaJGUiYyRQtNX1viZGvRRAVBwCep/l2uO9Da+UkncgBjqvIopOY3+bpnImFQcTxnZ21gXYV6dsMfsl4LSbgexxtu9PGcj8LzwAaSgBCjaxy9zA7Aqle8x5fQUAgY2+4ErTuBuY0lZXwBqM9Z4CfDwfqC+0bSo2SKXgelJu/I+8sicqWQpMqRzcNqJy42R1o7dI6ssCUa6wDZ7v1+V0BgU3oc7er4A190tn62nDWBlzZ4GK/Aw4cxQLblwdnthYCsDsS5EPXQsUGmSzo9RaZo5rruy8iig6jX3ZBmPFVLsswA1zQbmJTHQsffO/GVduDn4n3SdvQOYsXLUZOIeVoOtbJPNw6kCmJOVOkPaPiGdbR8qNOgLtrRTc+B0L5SZFel+RcmPJyluAQz8wozzgf+VGoQCyxrMKrYwRQFIf/66nEygtFeocWMnOiIztLL009SF2e22eY0Msn/iqjWMzh/hjXEE+qqAiAIMb3uUzPodte57J/Bu5Ex0/LpgrpnTmA6U6nHlpPAVXu3ggI08pVR1jKp4r8H5Dg+cByf3ZZZP5OWyZvXlwY9NzIzMUG6X3PJWD+wl5cBOZDERwzw0FNyLNVcCez6XAJnUI65Tub4ZdzLan3eLfdTgBKTehDq8GOudZ5qgPiwQUSibVN5VLX9TW8LOoyETL9vuuIO/+W3GYBVPOdMT1FZVWRr2LPmB/r87SNWLFVBArN86aiZ2F/w1rTrKgsXALAAULqI06dpuzsrq+FSgzD7bMOR04+hOrnALsm73D49nWVlpK37EUHAD0hiCtdgt2tNZpKa7cVLv3fK117LjGh70GMm31TDHt7MSCtzpI6gtctZwZ+gPh2Dn8UmDgXDYtPMAh5SbU4Qf2hFx2dqvWSF12HSkxrfLgRtbEzZXyZ3lwo6s3p6kCBEO7VNnDVQel0jkfCg9ugjkt5YqZ2Bmi01iAIZiAnx9lt+VMANKHssuupCVLdjFfUHQ6O6jL04T2UobclGorLWWwUwpOhmL/oFRJKdEomXLjTlqqNo9Ny146O/CbjZbtB14dysaXdEaRObjJmcD8ZYE0eTsIAhuAgpvQp92s3IRFSLcl9mRbR0oMP9BEJALx2QAUzJDMO1M6g/UE7UBKTdWcYF+gmhhpbpSzBHNaytUycGdRKKTA48iPbDvuH5JPoMIF3w331mSPt3xewL7ZW0xL1XW8z45yQ8Mz/cjY65gRPHVw1wzFe79ix6WibcDGlz26RI9iaGejSnQNrHK0s9YYXLmxbi5KOA0FN6EOT0vJzaM8zWRdDm7Us3LxtnpL5UatlQIAV1JT1kMp3TGWegseaDk7PFJOtLkbaFOFdFtdAZsWHujw4MaVSilnkQceA+YAQy+SAhO5clN+gPXAsYf1gV3+vPaUGzEtZcNzo6dqqYBj5rPAtd8xRSKSl4K70edm/wrp8h8vAyW7PbI8j7PxFaDMPI/OZAAaiuzva9SzMTmA1FuGcBkKbkId8cAuU27kaSY5e79koxl+fVbKf3PJWAyIrB7jCB7cpA9j20BSbqz9Nq4QbVZuGs3KTXM18P50Jo0X7/DM+ryFt9JSAJA2hG0jEthcLov+N+a/d/lB4P+mAB+cY7u5nyDIghvzgT2hp9Skz25aKp5tbaalJOWmXeazoeAmQODKTYuLzR4rDrGgWRnGZi4JRuDXZzy/vq5SsltSlVRmX5Cj42jZPvaeDY8Hkvp5eXGhCwU3oY6o3MjypPYMwtyDUrZPZihOsnyMM83/ODwt1fdstg1E5cad4CbG7Llpq2NlxqvvAZrNKs7e5R5Zntdwp4Gfswy/DBj7D+CKL6S/EU9L1ZxggdW3N7PKPUMrcOj7js9Rc5J9yak0rNwUYB6Nua8CZ94DpA+3/drcc2MzLSWvlpJ7bii4CQh49+vGMtfGdxz4lm37TmddegGgYDNgCiAvlUEHfHsLU2sGzwN6mXt9OVLA+UiRrHHMB0i4RZf+csePH8dPP/2E1lZ2ZiQE66ydUMaWcmM95ZnDz6Rr8yR5n0vGrio3Bp30hS8GN0cCZx4TD7Q6a9hni/B4NmMJYN2XD8ik8YPf+na68eHVwOYljvepKwB+eZIZoHU8uLExmbmrhMcCcxezCidObCarjjEZWKO90j3SffJy8bZ64KeHgR/vZtczRrJ0KGfE5cD0R+2nEHlaqhPlRk+zpQKPyCSzB0yQ5tnZomAzsOltdgyRd7AecgHz7miiWem0P0+iKo8Avz0nHT9/f4E1sYxMBuYstn/slSN6zigl1RXcCm6qq6tx9tlno3///pg9ezZKS1kVzA033ID//Oc/Hl0g0QVMRlaGC1gpN+YPWHOFNEQRkIKbxhKpszBPS/EPpbOeG/54dThr/KRQMTNdYwCYcA06qceNO8qNQiFVTP3yBNuecSf7Em8stZxU7W2+uw1Y+wBL99hj42Lgz8XAjqXeTUvZQqGQFBheATLtEbbN+1PyLe1eBmx6Czi5gV3v2UmvIWvs9bnRt0kBnTaGPDeBiEIhHZMcHV++ux346SHg+C8sOKg6wlJSA2YxdY+PCPHl58+aX59hAc13twNFO4A/X2W3z13MKsPsWQI41SeAI2vYZflJAuEybgU3d911F9RqNQoKChAZKX1pXnbZZVi7dq2DRxI+RT7oUq7cRMRLvhH5dHB5JRTvKxLppudG7P6bycrPYzIsb/cn1cdZfl4bJ63LVXjaRTACaUOBaY+ybrqApSLhTdqbJeN3+QH7+/H/ZVOZ74MbgA3WnPEUMP1x4OKPWHopczQrG+epqXKz2bLv2cCsF4FJd7n2GjwtpW+xLAku3c3+R1GpQEw6paUClYRctrV3fGlvkdLmBZskX1bmSGnWGzegF27r8HCfwdd4eBXw2UXsPT70YpaSAhyn901G84DiFqDX5M6biRIOcSu4+fnnn/HCCy8gK8uyhLZfv37Iz8/3yMIID8D9NgBTUORwo6e8ikVu6DOavyBEQ7H5jKOpTCovd4R8KCUgDaasd1Al4CtEv81A9xtjceVGqQbmL2EBHB8kd/Bb3+T95U0E7fWREQQpgG2pkTqeeroU3BGJvYCJ/wLOvBsYeiH7mw819/rYbw4EueF45FXAaTdJX1jOoo0Dm0MFy9SUVVl5O6WlAhMxXWNHuak6AnGUS+FWSQXMkpVK8zSOv5QbQbAMzlpr2XFi9kvSbY7SUpuXAIWb2Wfz/LfIb9NF3PrrNTc3Wyg2nKqqKmi1WhuPIPyC3Exs/UGx1X/EVvUKV24iEiRzsTODEHkQw4Mb3jqcBz3+hJ9d8bb+7pA5im2nPgxkmE2uvaeyYKep3DfpN3kTQXt9ZBqKWToQYBVwXLnxRim4Kww6j20LN7M18QAsdbB7z6dUSgMZ5aZiq7JyPSk3gUlnyrD8/V28A8j/m12W94HJGsu2NSdsH8u8TVMFO+YqlObJ9QrgvNctZ7LFmxWqtnrLpoWVR4Ffn2aXZz4rKVmE27gV3EyePBkff/yxeF2hUMBkMuGll17C1KlTPbY4oovYMhNzrJUbfatUSSOHKzcKBdDDfPDgXxiO4OknrtjwICcQ0lI8r5/Y2/3nmHQXcOcupkZw1BpJcdA12H6cJ5E3EbSn3Mi/FFpr/ZOWskV8LhCTyYzGh1YxRUkZ1rVhfNa9buRl5Vk8uKFS8ICkM8+N/P2tb5FOsOTBTUSCNHesyA+pKa46xWYBC1cBd+5kfiA5mkjJEsADOaOBVVQZ2oA+04HRC3y25FDGreDmpZdewnvvvYdZs2ahvb0d9913H4YOHYo//vgDL7zwgqfXSLiLrTJwjrVyY+tMRx1h2WqbH0iKnAhurJUb3gQwENJS/KDCzxbdQamyHRzxuTlt9e4/t7PImwjWnLL0WHEs0o41gRPcKBRA9jh2eef/2Dapb9fazFuPYKjLZ6Z5ZRjzZgCUlgpU5MqNrYpKW8pkXHbHYZL8PeWP1BQ/riT2ZJ8veydP1r6bnUuB4u0stXr+m4ExQyoEcCu4GTx4MPbu3Yvx48djxowZaG5uxoUXXohdu3ahT5/AHoPerXCk3KSYz3AaS5iMb6uBllxOBWSGvU6CG32b1K2XN/AT01IBoNzwgwrPf3sSrty0+UC5sUh9CUDV0Y77WCg3NdJUcG+UgrsK90jkm98rzg7WtIf1CAb+Ps0YLn4GqFoqQInPsRzoaw0P0ntNlm7LGtdxv8zRbFu23/Nr7AyuOnV20mTtuznxG9tOvFNSuoku4/ZU8PT0dDz55JOeXAvhaRwFNxHxLC3QWML6QvAvPW0cG3IJSCkpTuZoVtLdUMwUGHszmU6sZ2mG2B5SKosP6/S356a9WTp4dkW5sYcY3PhYuQFYIMPLrjly5cbQJlXE+Vu5ASzNoICkJrqLda8bG/1CqFoqQFGFseNJXQH70ufz2wBWys/734xeAJz6g1221QdGHPfhh143oiLcyUmTdQqOr7XHaK8sq7vilnLz0UcfYfnyjp1Yly9fjv/9739dXhThIRylpQDpQFBxSEpLZQxnAQwgNfDjaKOlFvuO1Bs+72XwfMnIzM9IGks7HxrnTWrN1XzhcVIaw5NwU6utZnKehntueOWTte9GXinF4ZPZAyG4yRguNUMEPKDcmP+f5QdYYH/sZ3ZddoZPyk0AY893U2V+D0elsjELvCou24Zyw5ty1hdKJ2y+otZJ5UbsEH+Sqdw1J9n1rgb3hAVuBTfPP/88kpOTO9yempqK5557rsuLIjyErYngcuRnOfyMPibDPAUcUnWUHH62ZM+wp2+VmlDx0miAHZiUatb3wZ/TtMUDkBdSUoBvDcW8WqrnJLa19iXUFzKTuDJM+l8K5i90bQCkpdRa0QsDoOsH90Fz2Xbnx8CX17Cz/eh0qUM2yHMT0NjrAcPf16kD2cnDjKeA028FMkZ1fI7IRKlNg3Vg721Ez00nx5b0oWxbuocdewUTO27I1Sqiy7gV3OTn56NXr47/wNzcXBQUOGifTfiWzpQbfpZTcUjy3ESlSF/81mkpQOa7sWPYO7YO0Dczsx8vzQSYghNj9t3U+9F34wkzsSPE1Igv0lLm4IbPq7FWbviXQnI/6YDPCQTlBpDeTypN16rXABbEjLwKgAAcX8duO/8NSU2DZbWUjtJSgQUPCo6sBn5/STpO8Pc1D34n3gmcu8h+Hxj5ca2uENj1mfdHoriS7k4ZyAoP2puk0S0pg8hI7GHcCm5SU1Oxd+/eDrfv2bMHSUk2zvYJ/yB6buylpcw9RcoPSGmpqCSp/4ut7r08YCnda/uAIc57md/xwxoXAOXgNV40EwO+q5YyGiS1rfcUtq3NtzQy8wnlqYM6BqqBEtzwLqypgwGV2xZAiZnPSRV6I68G+s+0uLud0lKBCz/ulO0DfnsGWHMfu168k22dHZXCj2uVh4Fv/gF8d6sU7HoLMd0d33m6Wz4qYvfnbNvVlCzRAbeOJpdffjnuvPNOxMTEYPJk5l7//fff8a9//QuXX365RxdIdAFHhmKA+WeUYUy14WmmqBRgxBVAdCow5rqOj+Hqi0nPjMfyD3J7M3DUPH5DnpLiBEKvG68rNz6qlmquBCCwCpOUAazapK6ABTR9zL2mDn7Ltn1nAEd+tHx8WIAEN/3PBea80tFc7C4R8cBVX7Pf97RbLO4SBIE8N4FMv5lsjEltHrDrE6YCVx2TGvb1ne7c8/BA4dg6ya9TX+jx5VrgrN+Gk30acPI36QTF3eaVhF3cCm6eeeYZ5OfnY/r06VCr2VOYTCZce+215LkJJDpLS4WFM89D0TapjDgymZVtT77H/mPColjqqaXGMrg59jN7zfgcqSRTTmwgpKV85Llpq2czjtbcC/SZJs2W8RRcAo9KZWeC2aex4KZoGwtuKg6xM1eVhjUSK9gkPTYsKnBauysUwLgbPPucaYPZjxUGk2DRQkVPaanAQqVmxx1BYBPAq4+xWUsQmCk8Pse55+HpqyqZ58bbSqqzfhuOtRk6hZQbT+PWEU6j0eDLL7/E4cOH8dlnn2HFihU4ceIEPvzwQ2g0Gk+vkXCXzpQboOMZc1RK58/L+99YT2AWU1IX2M4f89LxBj818jMZpZJSryk3srRU3kY2iXvD855/HR7c8AGeWVZeKF6x1mc6UzPkPYsCJSXlY6yDGVJuAhSFQlJ+ecNQW0qwPXgPLzneVlJ5x+REJ/u89Rhred3ZlBvhNF06fevfvz8uueQSzJ07F7m5NAsj4OhMuQEs25cDzHPTGVytkc9G0TUBR82lt0MutP04MS3lp143DSVsIKhSbb9HT1eRKze8yZ7OxliLrsKDG24U5meCRduYF4oHmnxApdxz4++5Un5Cb7DsfEt9bgKYoVbHkMHznX8s7+Elx9vKDZ9EnjXW8X6ciHhJYYpIdO6kknAJp9NSd999N55++mlERUXh7rvvdrjv4sWLu7wwwgPw4EbjSnDjinJTw4x0H5/PvsgNbSzdY91IjiNOBreTltr5CfDXa8Al/5PKJbuCIACfXyp1SxbMk7rjc1gqxxvIS8F5ybt8OrunaLQKbtKGsiC2rR7Y+wWT9FVa5mkBSLkBoDNaTmon5SaASR3EUjWVh4Hs013v3Js6kDUo5XgquGlvBj69iFWDXvAeS++21kopMFtdk+2RPY5VgqVSpZQ3cDq42bVrF/R6PQBg586dUNj5Z9i7nfADzqSlYjPZB7W+kH0Zapw4q+c9U1qqgRO/Wk7yHXu9/Q8qV26aypkfRS1LYVYcAn68mykrR9d4JrhpKpcaucnpM63rz20PebUUD0BszXzqKjxw4r0xVGHM55T/J/DDv9ltg86T0mRy5caZ/3EIIi8DByi4CXhOuxlY9W/gtJtcf+zAuWyswaC5wKEfPNd36vBqs39tEwtkTrsRKNrO7kvsA0R17P9ml2GXsBO6Qed5Zm2EBU4HN7/99pt4ecOGDd5YC+FpnElLAUy9qS9kqo0zwSn/omypAVTmLqBDLwbOeQaItVE+zolMZgZXYzvrlJtgTmUa9cDKm9ntANBSa/85XIGnzcLjgZt+Z5cVKu+lpABJuTG0SRUa+hamInky8LdOSwHs/5j/J2DUsd/5nGek+yIpuNFbBTM6Cm4Cm7HXASMud3xyZo9x/wBGXc0qpg794Dnlhqd7AeCXx1kFF+/Wbq2Cd0avycCjlSxNTngclz03BoMBarUa+/f7YTAZ4RrOKDeAZEZ1xm8DWKaluK8kqY/jwAZgEq44QFMmGe/+HCjdLV1vrYFHaKlm26hkZiBO6Mm6L3tTXdTGQmwPLw6yFFiw40ms01KA5cF19kuW/48ISkt1MBST5ybwcSew4ai1np311tYg9ctJGchOWr69VapEdDW4AZjiStkOr+BycKNWq5GbmwujVf6aCECcVW6GzAcyRgKjr3XueeXKDR/eaN0B1x7iAE2Z74a3SefdfVs8FNzwIMnWGAlvoVRKqSn5jBxPp6b47yaXwXudBfSeylrTD7vEcn/536CbKjfWSg2lpboBnuw7dWQ1U5eTBwBXfsU+R4WbWVUk4LleTYRHcKta6pFHHsGDDz6ImhoPfQkR3sFZ5SYmnaVtnO03IlduuPfD6eCG97qRlYPzfDgvz/aYcmN+HltjJLwJ97kIshMAT5uKeRk+DwgBZhy/9lvWmt76bDAiHqKiRMoNAApuugXy1gxdRd7qIiHXMu2riaFy7gDDrWTfG2+8gePHjyMzMxO5ubmIirI8WO7cudMjiyO6SGeDM92FBzcttdL0a2eHvtkawcCn9yb0ZOkpjys3vg5u4jp2RPWkciMIQGsduxwR79xjlCq2rra67lsKbjYUR2lUaG43UhO/7oDogWsFDDqWqnIHfRtwfD27PGQ+245ZCBz6nhVVZI3xXgUm4RZuBTfz58+HQqGAIAid70z4DzEt5eEzdTEtVSX5WpxWbmz0uhGVG7PB2OPKTSezXjwNP6DK8aRy094kqUJy5aYzIhNZcNPNlZsorRrN7UYYTAJMJgFKJXkeQhaeIgZYairazX4y1cfYyJnweKmbsELBysH/eBkYeUWXl0p4FpeCm5aWFtx777349ttvodfrMX36dLz55ptITnah/I3wHc6mpVyFKyGNpdJt0anOPZYHNxZpKbNyE8+DmzrWTbirZ0I8deNr5UZ+QOV4Urnhqo1K49r/NiIRwMlu67nhaahorRoVjTp2m9GEcDrjDl2UKpYyam9kJ1HuBjcV5snk1j1polOB2S92fZ2Ex3HJc/P4449j6dKlmDNnDq644gr88ssvuOWWWzp/IOF7TCYmxQKdG4pdxdrDEpHgvNzrMC3Fu1zL0i5dgatKPvfc2FBu2ps99/w8aItIcK3Sgv99bU177wbw6qjocOmcjsrBuwGiqbjO/efgwQ3NgAoaXFJuVqxYgQ8++ECc/H3VVVdh4sSJMBqNUKno7CegkJcee1q50caw3gwmA7se7aTfBpCqpZorpRw4r2SITGKqh66BpaacLU23R4sfPTfWeFK54QdpV1JSADNA9p/FBml2Q3haKiJMOlaRqbgbEB7H5tl1xVRceZhtyTQcNLik3BQWFuLMM88Ur48fPx5qtRolJe7NClqyZAmGDx+O2NhYxMbGYsKECVizZo3Dx/z+++8YM2YMwsPD0bt3b7z77rtuvXbII/8y9XRwo1BYqiHOpqQAFmiow9ll7rvhyo021vbcKnfxRyk4IFVoyPFGWspZMzEnNhMYfgnrrdEN4YGMRq2ERs0OfdTrphsgVkxZlYPzUQpb3+/8OUi5CTpcCm6MRmOHqd9qtRoGg8GtF8/KysLzzz+P7du3Y/v27Zg2bRrmzZuHAwcO2Nz/1KlTmD17Ns4880zs2rULDz30EO6880588803br1+SMMNrCqtd1z88oDB2UopgAVGYiO/YpY+a5cFN/Iy867it1JwLxuK3VVuujlcudGolNCozMENKTehj71Gfid+BY7/Amx62/Hj21ukETOk3AQNLqWlBEHAwoULodVK/oq2tjbcfPPNFuXgK1ascOr5zjvPcqbGs88+iyVLlmDz5s0YMmRIh/3fffdd5OTk4LXXXgMADBo0CNu3b8fLL7+Miy66yJVfJfTRe6kMnCNP9ThbKcWJ7QHUnGQDNHlgA7B0l7xBYFcwmaQgINTSUnLPDeE07eZScFG50VFw0y2wF9xwNcbeiZQgAILJ3GlcYCd0NL07aHApuFmwYEGH266++mqPLMRoNGL58uVobm7GhAkTbO6zadMmnHPOORa3zZw5Ex988AH0ej3CwjrK7TqdDjqdTrze0OChAWqBjjgR3Etlv/IvVleDGz7bqaFISkkpw5j/xlPKTVsdOzABvldu5NVSMZlsOrEnlRt301LdHD5bKoyUm+4FD26sh2fy4KatHjAaAJXs61AQgO9uAw5+x+ZbAUAKTe8OJlwKbj766COPL2Dfvn2YMGEC2traEB0djZUrV2Lw4ME29y0rK0NamuUXaVpaGgwGA6qqqpCR0bEKZNGiRXjyySc9vu6Ax1tl4By5GuJKWgqwnC/Fg5vwWEsvT1eVG65uaKItp4/7Arlyk9jL88ENpaXcgvtrwlRyzw2NkQl5+MmGtXLDTcIAO17Iy8QPrAB2f8Yub/sv26aS3yaYcGv8gicZMGAAdu/ejc2bN+OWW27BggULcPDgQbv7K6wiZ95I0Pp2zoMPPoj6+nrxp7Cw0OZ+XUYQgOKdwP5O/D/6VqBsn3fWYPE6Xk5LuWsoBmS9boolk582hm3F7sfVXVufv8rAAcvgJqEX2zqTlmooZT9yBAEo2c06pHLEtFR8V1bZ7dCLhmKFFNwYqBFpyGMrLWXUA1XHpOtypbixHPjxP+yyQuZXJDNxUOH34Eaj0aBv374YO3YsFi1ahBEjRuD111+3uW96ejrKysosbquoqIBarUZSku2KGK1WK1Zj8R+vULQNeH8q8MNdrMTZFiYj8PF84N1JQN6f3lkHR++lHjccuaHYlVJwwHZaSgxuzM/b1bSUv8rAASnoUIZJfX06U250TcD/ncV+5O+fwz+y29Y9Jt3G01Kk3LiETUMxVUuFPraGZ9acZB2HOXKleOMr7AQifRhw2afS7WQmDir8HtxYIwiChUdGzoQJE7Bu3TqL237++WeMHTvWpt/Gp/QYy5qj6eqBE7/Z3ufvN9kUWQDI/9u76/FpWspFzw1PYzWWS3lwrfkAJJaC13Ztff6aKwUwtWbs9cC0RyTPU2fKzbGfgKZy6YdTvp9tS2Tz2nhaigzFLsENxRZpKfLchD62hmdyvw1HfjJVvINtJ90FDJwNnPMsMOoaIPt0766T8Ch+DW4eeughbNy4EXl5edi3bx8efvhhbNiwAVdddRUAllK69tprxf1vvvlm5Ofn4+6778ahQ4fw4Ycf4oMPPsA999zjr19BQqkEBs9nlw+sAAztwPaPgOoT7LaKQ8Bvz0r7W3+4PI2YlvKScsPTPepw2+MGHMGVnuZKKcVinZZyVrlpqQG2/F9Hj46/ysAB5h2a+yow6d/S378z5YZPHAaA5irpMg90ak5Jt5Gh2C14IBOmpuCmWyFPS536g6mhcr8NIB0vBAGoPMIup5ords+4HZj3lqXhmAh4/PrfKi8vxzXXXIPS0lLExcVh+PDhWLt2LWbMmAEAKC0tRUFBgbh/r169sHr1atx11114++23kZmZiTfeeCNwysCHXABsWQIcXg1oHwK2vQ9knwb842fg9xcAYztTdxpLO364PE27l4ObWLN5Oz7H9QqCqGRAoWTVTDUn2W387MpVQ/Gmt4GNL7MgYPqj0u3+VG7kiMGNA+VG1wgckymS8uCm0RzctFSx/bQxUkBIaSmX0MsMxVoyFHcfeHDTUAx8ejFg1LHjlhx+vKgvYu0plGFAUh/frpPwKH4Nbj744AOH9y9durTDbWeddRZ27tzZcedAIGscM8s2FLPABgAKt7AzgaM/seuzXgC+upaZ2Yx673WL9bahOGMkMOslIGO4649Vqli/iKZyoPo4u82WciMInQdO/PH2zsT8odzI4X9/R8HNkbWW4zKaK6XLTTKPWW0eO5vk8jopNy7BgxutmkrBuxU85S2fLVVnPmlOHgBUHZEKEPhxJKlvt+3kHSoEnOcmqJGnpgAA5i/m725jwUZCT2Dgeaw82aRnqsXmd5mBzdN421CsUACn3QjkuJmH5r1xeMUCD254MGJsB9qbOn8ePoCTdxDlBJpy42hwpjwlBTCVhtNUIV2uOWX2KJkrfEi5cQkxLaWSqqVOVjbjzmW7sK+oC3OHiMCmQ1NN2QlT7hlsy0+GxOnfVBkV7FBw42mGXwpAAcRlA9PNFS5F29h2yAUsAEoZwK4f/QlYez+w/ikp/eApvK3cdBUe3PCghPt2NFFsZATgXGqqXhbcCLKyXrFaysdzpaxxRrkp3MK2OeYDLVduBMHSXFybJ519qiOAsHBPrjTkkfe5CTMrN59szsf3e0rw4V+nHD2UCGasZ71d8B4b/BuXDaSZfTU81SvOkKLKqGCHghtPkzkSuPE34Ib1wKirmbeEM+QCtuUfnL9kJe/ys3VPwJUCTbRnn9dT8Aorwex54MqNQuG8qdhokNI27U2WvXHEtJSfK4o6MxQLgnRgTR/Gts3m36O1lilYnNpT1OOmC4il4DJDcUs7e//lVTtQ1ojgRq1lJwMA+4yNuAy4+S/gujXSyQ8/XlSSchMqUHDjDTJHsS/v6FSgp3mKemIfIN3sT+EfHHlA09WmddaIwY2X0lJdxbo3jrziyllTcVOZNGIBsKooCpS0VCfKTXuTFOAl92Nbrtw0Wal5tXnU46YL6G2UgnMKazzYQZoIPLh6M+RCtk0dCMRnW/bVMplklVK2u+QTwQMFN97mtJvZ9vRbJHOsLcmzq+MGrPF2KXhXsZ5HJZeO7c2CsYanpDg8xWXUS14VV+deeRpNJ9VSPFhRaZhMDkjBTaNlw0rUnJL1uIn34CK7B9xzI2/ix6lqakeTzuCPZRG+oNdZrIhh+GWWt0fKTqTqC9hxU6WROosTQQsV7nubgbOBRyrYB4ZjS/K0l4JpLGNf0K6WW3MzbqCnpTg8LQVIXhL5yAFbNBRZXq81Kzf1RUwNUYe73j3Z08jTUraqv+Rl3XziMFfxeICW1JdVhdUXSmXi/k63BSHtNkrB5RTWtGBQhpc6mBP+5aL3bVenRshS4Nxvk9yfetqEAKTc+AK11vJLLbaHlIYJM3ewtaXc7F4GvDIA2LzE9dfkfW6CMS3FAwJDJ119G0osr3Plhgc58bnMwO1PeFpKMFr6ZzhyJSbKLJE3V5rNxGblJmMkC45NBqD8ALuN0lIuY8tzIye/mlJTIY2t0m6u3JgMQOFWdplmSIUEFNz4A4UCOPNuoN85zNwGSGfwcoq3s+2R1a6/hui5iXJvjd7GetimhXLjRIURIKWlYs2zqrjnhgc5iQEgLcvTgrZMxWK34QRJuTG0sf8fr6CLzWCBGgCU7DLvH++N1YY0UhM/RYe0FEC+m25JWIRkNuaNNN3p3UUEHBTc+ItJdwFXLZc6ZdpSbrjnongnqwxyBb05uAkL0OAmxoFyo+ZpqU6+bHhaqudEtuVBDQ9yEnp2ZYWeQRXGyk4B28EaV27C41kgyg+0zZWSoTg6XQrUSLlxGwvPjUy5SYxiKeP8GqqY6pZw9aZ8H9tmn+a/tRAeg4IbfyNWBtmoluKeC30zUHHAtecNdOUmLELqHApYKTfcp9KZ58aclso1BzeNJSyA4EFOoJgCHY1gsC7t5upNc5UsuElj1XaANMk4KtkrSw1lxGopq7TUtIFMRSyo6UQpJEITeUWlMoylgYmgh4IbfyMvRbRG3nqf54OdJdA9N4CUmlKHA2qZ4Vo0FDuZlkofJik/dQWS5yYQlBtAlmZzkJbiSgwPWlpkwU1MGnDaTcCIK4BB5wFjFko9kwinsafcnD3IHNxQr5vuiXxES8YIao4ZIpAl3N9E2unpIgiWXYsLtwLj/+ncc5qMkhk3UKulAJaaqj5mqdoAzhmKDe3Sl39cFpCQC5TtYymp2nx2eyB4bgDHyo1oKDZXP/HgprlS+v/ztNQF73p1maGOvFqKe25SYrQYlhUPACiqbYXRJECldLEykQhu5MpN9nj/rYPwKKTc+Bt5KaKctno2vZZT5IJyI1cIArXPDSD1oNFald+qnVBuGksBCKyKKDKZlUsDwPFfpP441pN//YWj+VL20lL1RYDOPO/I2nxNuIVULaVAcgwb8TEiKw7pseHQqJQwmASU1FFqqtsRQcFNKELBjb8RRw3UMcWFw1UJdQQABfORyIcoOkL8ElUE7mwpQBbc2FFuHAU33G8Tm8nKvfufy67v+oRtYzID53d3VP1lnZbiaUpuHFaH2xj8R7iDXkxLqXBm32S8deUoPD1/KFRKBbIS2P+ogCqmuh9y5SaLgptQgYIbfyM2YxOkLzpAqpSKzwZSzR2NnfXdyM3Erjb/8yW8kZ/1YLvOgoGP5gDLF7LrvAx8wCym4hjMJuRA8dsAjj031h2HuXJTtpdt3WngSNhEMhQroFYpMXd4JjLi2P8mJ4kF1P/6YjcuWvI3Kho7MbMToQNXbmKzgLge/l0L4TEouPE3qjCpakiempKPD8gaxy7z6dGdEeiVUpzMUWxrPY7CUTBw7Gcg/0/JbN3D/BzhcUDfs6X9AsVvA3RSLVXHttaem7oCtk21MaqDcBlBECw8N9aMyWF//6omHXbk1+Kn/WUd9iFClPShbNv/HP+ug/AoZCgOBCITmL9CbirmX97Raazvws7/AUXbnHu+QJ8rxek1GfjXXmYIlsODG4ONs2feIn3wPGDiv1l1A2fIBVLDw4BUbhyUgovVUinSfSotMOMpry6tu8BVG8B2cHPb1L6YOjAVS//Ow9c7inC0vMmXyyP8Sa/JwL/2sM7xRMhAyk0gYMtUzNNSMemSya14J6sS6oxAnyslJyEXUKosb3NkKK48zLa5k4Aeoy0fO2AWCwiAwApuuIJmrUSZTMw4DkhpKe65AYBpjwApA7y+vO4ANxMDsDlXSqlUYGiPOJzRh/39j5Y3+mxtRACQ0NP2eAYiaKHgJhCwVQ4uT0sl9WVpC6OOlTt3RjD0uHGEozROxUG2tTV8VBsDnHEH+3v1nuq99bmKPeVG1wDArChw5SZ1MJA+HBg4F5hwm69WGPLIgxtbyg2nfxoztx8tb4QgCHb3IwgisKHgJhCwpdzI01IKhdQS3BnfTbB4buxhLxhob5F62Fj7dDjTHwXu2AFEp9i+3x+Iv4/5/2LQAUXbpf+3OkJqHBYWDty8Ebj8s46KFuE2vIGfUgGHfWz6pERDoQBqW/SoanJCJSUIIiCh4CYQEJUb2QiGRll3WkAyFTvT70acKxWsyg333FgFN1VHAAgsdRNIwUtnWCtR658C/jsd2Po+u05DML2OIzOxnAiNCjmJ7P91jFJTBBG0UHATCHCfhUVaStadFpApN06YikXlJgg8N7awp9xUmP02qYN9u56uYv378NTa/hVsS0MwvQ43FGts+G2s6ZcqpaYIgghOKLgJBHgZcEs1sGMpULBZ6n/Cu9P2GA0oVGwSNp+pZI9g99yoZdVSJskrgUpzpVSKDb9NICMqN+b/C1fleOqRlBuvI58r1RkD0tlJwdEKqpgiiGCFSsEDAZ6WOrIGOLxKqvhRaaXARxMFpA1hzd1KdjpuNiVWSwW55wZgAQ4P0kTlJsiCG/5/0JmVAK7KccRGjoS30DuZlgIkUzGlpQgieCHlJhDghmLBPH6Bz5Sy7k6b3J9ta045fj6xz00IBDfy1BTvcWPPTByo8NRiYxlg1LOJ33IoLeV12sW5Uq6kpZqoYoogghQKbgIBi9km49gYAaDjwETeu6U2z/HzBXu1lFIl/Q24qVjXCNQHadderrLVF9meD0ZpKa/D50qFqTofZdE7JQpKBVDfqkdFo67T/QmCCDwouAkE4nOYzyQiAbj0E2Dao+z2tCGW+/GRArWdKDdicBOknhugown3z9fYNj7HMhgMBnjn07Y62/87Skt5HWerpQAgPEyFbHPFVF6VjUnuBEEEPOS5CQQiEoCb/mBKS2wGa0SXe0bH7rQuKzdBWi0FmE3F9Sy4Kd4B/Pkqu33G035dlluExwKaGKC9kXWZBlgqipvGKS3ldfQupKUAIC02HPnVLaTcEESQQspNoJDSX0pfKBRA1ljWcVdOglm5qSsAjAb7zxUss6UcIR+e+f2dzI809CJgyHy/Lstt+P+2xBzcZJ8mKTaUlvI67QZzKbgTyg0ApMQwU38lBTcEEZRQcBNMxGQwL4rJADQ4KAcPds8NIAU3jWVA+X52edaL/ltPV+GpqeIdbBuTDgy5kClUfDo64TVcqZYCgFRzcEPKDUEEJxTcBBNKJRCfyy478t2EUnDDgzhNNBCV7L/1dBWu3NSZTdHRacCcV4D7TwHJ/fy3rm4C73MT5mRaKkUMbthk+voWPVrbjd5ZHEEQHoeCm2BDNBXn2d8nJIIbc0qtoYRtI4LMRGxNrFVfohhzmb+87J3wGqLnxolqKQBIjWGzviobdWhs02PyS7/hgnf+8tr6CILwLGQoDja4qdhRr5tQ8NyozYMk64vYNjLIK4qsgxve+4bwCa4ailNlnpuj5U2ob9WLP3ERYV5bJ0EQnoGUm2AjoRPlRhBCo1rKOi0V7MqNdUfp6DT/rKObojO45rmRG4oLaqRy8MKaFs8vjiAIj0PBTbAhloPbUW70rQDMXVVDoc8Nn6MVbL1trInNsrweQ8GNL+GDM101FFc3t+NkpRTcFFBwQxBBAQU3wUZnnpt2WdOxYE5L8eCGD5fkk9ODldhMy+tRqbb3I7yCq2mphEgN1Ermz9lZUCveTsENQQQHFNwEG7xaqq0eaKnpeL/eHNyoI9gYg2CFB2aCeSp4sKeltNFAeBy7HB4PhIX7dTndDclQ7NwhT6lUIDmaqTe7CurE2/OrKbghiGCAgptgQxMpnfXzsmI5oVApBUiGYk6wp6UAKTUVQ2ZiX9PuwmwpTmosC25aZCXg5LkhiOCAgptghH85NpV3vK/dfPANZr8N0DGlFuzKDSCZiq0HohJex5XZUhzuu5GTX0OzpggiGKDgJhjhwU1jWcf72pvYNpgrpYCOaZtgLwUHJN8NlYH7HFc9N4BUMQUAKrP/pqSuDfnVzbh4yd9YsbPIs4sMUHYX1uHc1/7A5Bd/w5w3NuJYeaO/l0R0gf3F9bjwnb+w6US1v5fiVSi4CUZ4GXFTRcf7QqHHDdCxuV0oKDdZ49iWxi34HL3BtWopAEiJkQLsAWkx0KqVMJoEPPvjIWzPr8UDK/Z1iy/6dzecwOGyRhTUtOBASQOW7+geQV2o8u2uYuwsqMPHm/L8vRSvQsFNMCIGN7aUm1Dx3FgFN8FeLQUAI68C/rUXOP0Wf6+k29HuoqEYsFRueiZHIjuRnTD8fJClg9sNJtyzfA8M5ucOJfRGE0wmAU06A347wk6iLh+XDQDYkV/r6KFEgFNaz0aK7MivhSAI4u2CIIgKZyhAwU0w4lRaKsiDG2vlJhQMxQoFkJDLtoRPkTw3LhiKZcFNdmIkchMlNTRKo0JsuBp7iurx8aZ8zy00ADhY0oDRT6/DjZ/swC8Hy6EzmNA7OQo3Tu4NANhXXA+dgeZsBSsl9a0A2FDY4rpW8fabPtmBCYvWo75F76+leRQKboIRR2mpyiNsG5ftu/V4A3laTRkW/B4iwq/oDdxz43x7BHlwk5sYJSo3ADBjcBrumTkAAEIqTdNuMOHur3ajsc2AXw6V48kfDgAA5gzPQK/kKCRGadBuMOFASYOfV0q4S2ldm3iZq3DtBhN+PVyBqqZ27C2u89PKPItfg5tFixZh3LhxiImJQWpqKubPn48jR450+rjPPvsMI0aMQGRkJDIyMnDdddehujq0zVEWOEpLFW5h2+zxvluPN5AbiiMTSe0guoQ7yo08LZWTGIncJCm4mTM8E+ePyIRaqcCh0gacqGzy3GL9yJu/HsPhskaxgWGt+Sx+zvAMKBQKjM6JBwDspNRUQNGkM+CgLOAsrGnBzwfK8POBMpTI1BmD0SROugekHk6nqpphMLEUVaj0cvJrcPP777/jtttuw+bNm7Fu3ToYDAacc845aG62X275559/4tprr8U//vEPHDhwAMuXL8e2bdtwww03+HDlfoa37m8sZ7OkOPpWoGwfuxz0wY1MuQkFMzHhV9ytluIxdW6SFNzEaNWY3D8Z8ZEaTOqXDAD4cW+pZxfsB6qbdHhnwwkAwKuXjcRpvdjnrm9qNAakxQAARuWwqkV512bC/zz23X7MfmMjPtuSj5K6Vsx+YyNu/GQHbvxkBy545y/x/V/RqINJ9pXBlZujMmN8qPRy8utU8LVr11pc/+ijj5CamoodO3Zg8uTJNh+zefNm9OzZE3feeScAoFevXrjpppvw4osven29AQNXbow61qk4Ip5dL9kFmAxATEbwp6XkTfxCwUxM+BVeLeWKoVirVuGecwagtrkdWQkRSI8Lx+XjsjGhTxK05vTWnGEZ2HCkEj/uLcWd0/t5Ze2+4mBpA4wmAb2So3DeiEyMyU3Asz8ewiVjs6AwR3ljcllww82oClJUA4L9xfUAgGd/PIQVO4vR2GZAWqwWjW0GlDfo8NfxKkwZkIpSs98mUqNCS7sRB0sb0NJusAhuSLnxAvX17B+UmGj/TP2MM85AUVERVq9eDUEQUF5ejq+//hpz5szx1TL9T1gEoDW38m8qB/Z9DeT9JaWkssYFfxpHrtyEQo8bwq+408QPAG6b2hePzB0MhUKBMJUSz180HPNGShPezxmcjjCVAkfKG4O+LPxoOUut9U9j/rbM+Ai8fdVoTBkgNZ0cnhUHlVKB8gYdSurbbD4P4Xu4j6al3Ygd+bXQqpX4/J+n48LR7L3KlcUS835DMmORHhsOo0nA3qJ6i+AmVOanBUxwIwgC7r77bkyaNAlDhw61u98ZZ5yBzz77DJdddhk0Gg3S09MRHx+PN9980+b+Op0ODQ0NFj8hAU9NndwAfPMP4JP5wL5v2G3Zp/lrVZ5DXi1FaSmii4jjF1xISzlDXGQYzuyXAgBYFeSpKR6c9TenoGwRqVFjcEYsAODv41U+WRfhmMY2PRp1BgBARBhTFO+dOQB9UqIxZxhrHPrTgTK0G0yicpMRFyGqcH+fqMaxcskzVlDTYlEiHqwETHBz++23Y+/evVi2bJnD/Q4ePIg777wTjz32GHbs2IG1a9fi1KlTuPnmm23uv2jRIsTFxYk/2dlBnq7h8NTUgZVsa2wHykPEbwNYBjehUAZO+BW9G4ZiZ5kzLAMA8OO+0qD+UjjqRHADAGcPYsee1fuCO5gLFXjfmthwNT7+x3g8M38orp/YCwAwvlciUmK0aGgz4K/jVeK+GfHhmD6IKXLf7y5GXrXkc23SGVDT3O7j38LzBERwc8cdd+D777/Hb7/9hqysLIf7Llq0CBMnTsS9996L4cOHY+bMmXjnnXfw4YcforS044ftwQcfRH19vfhTWFjorV/Dt/DgpmCz5e0qDZAxwvfr8TSk3BAehAc3Wg8rNwAwY0gaNColjlc0iamdYEMQBPHsvbPgZs5wFsxtPFYVMj1RghkesGTGR2Bcz0RcfXoulOZqN5VSgdlDWV+0VXtLxfRVRmw4ZgxOg0atRF51C0wCEBcRhjTzsNhQSE35NbgRBAG33347VqxYgV9//RW9evXq9DEtLS1QKi2XrVKpxOezRqvVIjY21uInJBAnS5t/5xFXsG3PMwF1x4F/QYfaqhScILqA3uj6+AVniQ0Pw+T+PDVV4vHn9wVlDW1o1BmgVirQK9lxA9C+qdEYmB4Dg0nATwdstKMgfEppHU81hdu8f85wlpr6+WAZ8s1BS0Z8BGLCw3CW+X0LMK9VbiL731Nw00Vuu+02fPrpp/j8888RExODsrIylJWVobVVqst/8MEHce2114rXzzvvPKxYsQJLlizByZMn8ddff+HOO+/E+PHjkZmZ6Y9fwz9w5YZz7vPATX8AF/3XP+vxNAqFNIKBqqWILqIzuGcodpa5ZjXjx73BmZo6UsZSUj2To5wql+e/7ypKTfkdbuxOj4uwef/Y3ASxcupQKfOcZpr35f9HAOibGoMcc7uDghComPJrcLNkyRLU19djypQpyMjIEH++/PJLcZ/S0lIUFBSI1xcuXIjFixfjrbfewtChQ3HJJZdgwIABWLFihT9+Bf8hD25SBrJy8IwRoaVy8NQUpaWILqJ3s1rKWaYPSoVGrcTJqmb0fXgNzn3tD7S0G7zyWt7gmFWlVGfMNvuM/jhaib4PrcbV/90Ckyn4grpQgCs3mXaUG6VSIf6/OBnxbN/pg9LEYLZ/WjRyzF2480m56RqCINj8WbhwobjP0qVLsWHDBovH3XHHHThw4ABaWlpQUlKCTz/9FD169EC3IkYW3ISCgdgWuWcAkclAygB/r4QIcrzpuQGAmPAwXDSa+QWNJgGHyxqDakSBs2ZiTu+UaJxpbmBoMAn483gVqpp0XlsfYZ+yBm4Stq3cAJYKjUalRGKkBgAQrVXjqtNyEBGmwpQBqWKjSkpLEf4jOl26nGU/uDGaBFQH60Hnsk+Buw9KTQoJwk3avZyWAoDnLhiKrQ9Px4jseABARUPwfO6OVjhnJpbzv+vGY/OD05EYxb4oq5qCv8ImGCnpRLkBgFHZCaInJz0uXDQcA8BjcwfjwJMz0StZmp8mT0vVNLeLnx9r9EZTh8oqvdGEv45XodDPJeUU3AQr0VJjLUd9bV5ffwxjn/0FG47YGLIZ6CgUoWGOJvyKySSIc3O8UQrOUSgUSI0JRw+z5F/ZGBxN7mqb23G0jCs3zg+oVSoVSI8LR3I0C25CoXw42BAEQayWSncQ3MhTU9bGY4VCIQY7fPJ9WUObOK9qwqL1uPfrPTaf9/6v92LCovUd5lpd9d8tmPnaH+7/Yh6AgptgJTIRGHU1MPxyINl+2/ed+bUQBOCzLQV29yGIUEZvks46XZkt5S4p0Swgr2gMDuXm0e/2o1VvRP+0aPRKdj644SRFsd+3ujk4ft9QoqHVgJZ2IwDWmM8R10/qhdN7J2LhGT3t7pMYpRFTU78drsDyHYXQGUzYcKTSpgqz5VQNdAYTlu+QWqxwv05OYqRfx3NQcBPMzHsbuPA9h6MWalvY2dTvRyrR0KbHsfJGbDnZtQnq2/NqcKCkvkvPEUz8dqQCeVX2h7kSgQ0vAwe8m5bipMZy5Sbwv+x/3FuKVXtLoVIq8PIlI6BSuv5llGRWbqopLeVVNh6r7FDFVNrAUlIJkWGI0KgcPr5HfAS+uHECZlmZi+UoFAqxKeUPe0rERo31rfoO72ejSRD9Pqv3lYqG8kJZcONPKLgJcerMTbbajSYs/SsP89/+C1e8v9ntUr+GNj2ufH8Lrv7vlqAseXWVo+WNuO6jbbj50x3+XgrhJnK/gC+Cm5SY4FFuXv3lKADg1il9MDwr3q3nSDJ7bki58R6HyxpwzQdbMf+dvyyM22JTvk5UG1fgTRp/PliOcplvzLpBZWWjDkZzQFPeoMN284RxPniTK0D+goKbEEeeB1+87iia240wCcCWU+6pNxUNOrQbTaht0aNNb9tkFkrwEtkj5Y1o0xv9vBrCHXillEqpcEuZcJVgCW5a2404Ucne3wscpCo6I8mchiPPjffYW8iU8prmdjz67X7xxLKk3nEDP3cYnBFrs5HjUavBsHxOFedHcwPLAlJuCG/Tpjei1c4X8s6COrees75VOoA1toV+63X+ARYE4HhFcLbW7+5w5UbjA9UGAFLNwY0/01KCIOCN9cew/lC53X2OVzRBEJjPIjnafeM+VUt5nyOywGLN/jL8YB7SKio38Z4LbhQKhUXp+NAerKv/sQrr4Ia9Nvexrd5fBqNJELMCOUmOO117GwpuQhieklIpFRhknuTL28TvNEuIrlLfKgU0fBJtKMM/wEDHMxciOPDm0ExbcOWmulkHg9E/6uaO/FosXncUN3+6A4fLbPfb4e/nfqmum4jlULWU97H+X725/hgA4KC543B2gmdVkvNGZEKpYP/b687oZV6D5ckdL0GfNiAVMeFqVDbqsK+4npQbwvtwM3F8RBj+75ox+GDBWLxyCRuqebSiEQ1uKC/y4KaprTsEN5L0GqxDEbs77eYAwxeVUgCrHlIqmNpX7acv/JOVzACvNwr4z1d7xABPztEK1xr32YOnpYK2n1YQwNPjD80ZBI1KiWMVTdieV4ONxyoBAFMHpjp6uMv0T4vBsn+ejmX/PB1DzMrN0fJGC58lP/HLSYrE2NwEAMDPB8rQqjdCqWAGZn9CwU0IIwY3kWHITozE9EFpSInRIicxEoIA7HYjNSWfAtzoRHDz7u8ncM0HW4LWr1JSJyk3x0i5CUr0Bu8NzbSFSqkQ0zz+Sk3JO8weKGnAW78eBwD8crAc897+CwdLGlweuWCPRNFQ3DGQ21dUj4uW/I19Rd2nutLT1Lfqxaqk0TkJmNyfdYa+7+u90BsF9E+L7nKAaovTeiehX1oMeiVHQaVUoLHNYGEwLqvnZuZwjM5hwc13u0vMt0X47GTCHhTchDA8LZVgbrXNGZ0TD4BJ1y4/p1y50XWu/Lz/x0lsPFbl1msFAmXytFQFBTfBiK+VG0BuKvZPIz/ea4R/1t/+7Th+OViOu77ajT2FdXjvjxPisMx+XfxiTDb3uWlsM0BnsDyJ+e+fJ7EjvxYf/HmyS6/RnTluPu6kx4YjLiJMrGY6aW5PMXe4dwdGa9Uq9DRXPsm9P3Iz8xizclNsTlX5OyUFUHAT0vAceLxVcMPfiDsLXA845Gmphk6Umza9UTybk3tXAhFbQ/8MRpPFl1NhTWtQDUMkGL4YvWCNv03FXLm5cXJvzB6WDoNJwA0fbxfV1nUHy8Uvoq6e9cdGqKE2V6HVNlue8PBjjLsFDN0ZQRCgN5rEdHg/s8J2tmzYJYAOQzG9AX+PyNVreRn6iOx4yAsR/V0GDlBwE9LUmdNSiVFhFrePMkuIuwvqXJ7k64rnprxBCgz45NpA5O3fjmPI4z9hT2Gdxe3ljTqYBGZE5b08qGIq+PD2RHBbpMaw6hV/zZcqqGZn9TmJUXh63lDx/atVK5EcrRG72iZHa8W0krsoFApZxZT0+1Y0tqGwhn3uC2pagqKpYSBx2f9txlkv/ib6agaYA4yY8DCcZS4MGZgeg75dNIQ7A1f3dpmDVPmJX0Z8OKK0agxMjxX3zyblhvAmtXbSUgPSY1gOVWdwuReH3HPT1Em1lNyvUhLAys1PZhPcJ5vzLW7nAVlabLh45kKm4uBD79e0lO+/0Bva9OJnPycpEknRWrx8yQgkR2vw5PlDcKF5ejnQdb8NRzQVy3w3O/PrLPZxRynurpTUtWLrqRqU1Ldh9b4yAJYK202TeyM9Nhy3Te3rk/VMGcCCqR/3leLPY1WokJ348bTk6Nx4cX9SbgivIhmKLYObMJUSmea+CPnVro0VsCgF76TaSl5pZN3wKZDgEv5PB8rQbjChtL4VJyubxFRaZlyE+CVApuLgQwxufFQKDgCpsY7TUkaTgB35NWKHV2sKqltQVOteF3He/j4pSoNorRoAq6bZ/sgMXD4+R2yvD3Q9JcXhylCNrEuxdTDjbvuJ7oitQLCfLBAd2zMRmx+ajvNGeNdvwxmdk4BrTs8FANz39R6xND0tVpowzu0OAHluCC8jGYrDOtyXm8gaLMmrKpzBIi3ViXIj99mUBahyU9+qF/9OjW0GfLOzCLNf34jZb2wUJdiM+HBRlv3jWJXfepcQ7qHzo+fGnqH4nd+O46Ilm7Bkw/EO9x2vaMQ5r/2O89/6y60qQ95EzV5qYHhWHLITWZluP48pNx3nS/FgZkLvJHadlBun4QUY8uaKXTV+d5UHZg1ETmIkSurb8PDK/QDYiR9nTE6ieJl/v/gTCm5CGHvKDSAd+LoS3HRmKJarNSUB6rkptPr9H165Txwt8dV2Nuk2PS4c5wxJQ0y4GodKG/B/G6nyI5jggzN9Gdw4SksJgoDlO4oAAMt3FFn0DjEYTfjP8r1o05tQ09yOAyW2G/A5gn+m7aUGFAoFnpk/DBeO6oF5I3u4/Py2sC4HbzeYsLeYlX//czJrArenqN5izhdhH27Afmj2QPzzzF54cNZAUYXzF1FaNV66eDgAqSoqXTb2IScpEvec0x8PzhqIOBsn1L6GgpsQpraZG4o7Bjf8wOcouCmobsEnm/MtlIo6FwzFpTLPTUObAc0B2NGY//78wCHPEnBlKjMuAqkx4Xj8vCEAgNfWHRPLaInAxx+eG24ormzUdRgwK+/iml/dgv3FUgDzfxtPWhjb5amcJp0BH/x5yu6Jwt8nqvD9nhKxDNxRauCs/ilYfNlIj31hcoWhvKEN/914Eo9+ux/tBhMSozSY0j8VCZFhaDeYxI66hH3a9EYcMAeG43om4uE5g3HTWX38vCrGab2TcN3EnuJ167EPt0/rFzBrpeAmhKl1kJbiB758B9PBn1p1AI9+u1802rbpjRZnXp0aiq1SUYHou+G///RBqcg0n4VcP7EXFDJ7Bh9Kd9HoHjh7UCrajSa88esxn6+VcA/Jc+Nb5UahYCmxSqvOvT+a5wJxVu1jjc+MJgFLNpwAAIzIigNgmcq5/5u9eHrVQTy/5nCH12s3mPDP/23Hnct2ic/vS98DP4H6fncJnvnxEL40q55jcxOgVCowJpelLD7elOezNQUr+4rrYTAJSInRIivBv11+bXHfzIHiYM1efp4f5QgKbkIUo0kQxyvYSkvxA591WkYOP6NcZT5YylNSgPOGYv6lIq+eChQkCT8K714zBosuHIaH5wzC+J5S/jjT3EZcoVDgX9P7AwB+PVRBPW+CBKnPje8MxeFhKnEOkLwTuCAI4ueJm0F/3FsKQRBwtLwRjW0GRGvVeGDWIADMe8EeUyIGLdvyajq83sHSBjSby7v559SXwQ03FBvM0uclY7Jw29Q+eGTOYADALVP6QKkAVuwsxrqD9od5EpLfZkxOAhQK371nnSVCo8In/xiPR+cOxvxRnklregMKbkKU+lY9uBoeb0u5MaelqpvbbSow8pbfO/JrUVLX2iG4cZSWam03ikZdPlU2EE3FBTW8H0gkhmfF44rxOVApLafiyvPKQ3vEIicxEq16I349XCHe/smmPNyzfE9Apt66O+1+6HMDQGxJv7OgDk06A277bCfmv/M3iutaEalR4cnzhyAiTIWi2lbsLaoXv9RGZsdjVE481EoFKhp12FNUj0e/3S8+b2l9W4fUlK0O4Lk+PKtOkhlfZw9Lx4sXD8e9MweKx5kxuQn455m9AQAPrtjn1ly7YOK73cW49N1NuHjJ37h3+R7oDEa06Y14cMU+fGrVcoLz84EyXPreJvx34ykAlqXVgUZWQiT+MakXwsNU/l6KXSi4CVG4mThGq7Z5UI8NDxPTVQU2UlPWJc+r95WKwQrvROlothRXbaI0KrHctCQA01L2zJfnDs1AjFaNHvER4lkpwNQb3v6cn0lvOVmNx74/gK93FNlMGRD+hc+W8vWsm9G8E3h+LVbsLMKP+0pFP82soRlIjNJg+iA28HDV3hIxBTU6NwHhYSoMyWQnBf/8eDtqW/QYnBGLgenss2SvzPr8EZnQqJVIjw0XK7Z8Qc+kSGjUSqTEaPH0vKE2FYe7ZvRHj/gIVDXpsN2G+hQqGIwmPPnDQWzNq8H2/Fos31GEN9cfx8s/HcGyrQV46oeDHYK7wpoW3PXlbmw9VSM2QpzYN9kfyw8Z/Gu/JrwG704cH2XftZ6TGInalnoU1DRjcGasxX28WZ1SwUy2q/aWimeCGXERKK5rRVO7ASaTIPY5kMPLwNPjwpFhLhcsDbC0lN5oElNl1hJ+SowWq/91JjRqZYcD9ZxhGViy4QR+PVyBisY23Pv1XlEl+2RzPs4dmk4HpgCi3cjSNf5SbvYU1cFgYurRVaflYOqAVEzow8qj5w7PwKq9pfhxbynCzMEXnwc1OjcBe4rqUdmoQ5hKgZcvGYEvtxXgcFkjduTXWswU4sHOFeNz8J9z+kOjVtr8XHqLpGgt1vzrTMSGh1moOHLCw1TolRyFYhsqcCix6WQ1aprbkRilwQ1n9sKLa4/gnQ3HwW3l7UYT1h0ox0VjWDNFk0nA/d/sRXO7EaNz4nHj5N7IiIvAkMw4//0SIQApNyFKjXnGS6INvw0nJ8my183+4npMfP5XfLe7WGzSdP6ITCgVwO7COhw0l6XyUfaCALTY6cPBZfPM+AjRUR9oyk1JXSuMJgFatdLmWW52YiTSYsM73D4kMxY9kyKhM5gw/tn1KKhpQY/4CFxk7vx6/zd7qRdOAMFLwX2t3PROjkJ8ZBh0BpNY2nvr1L44e3AaosxVSlMGpCJKo0JJfZtobufjUXhwBAB3TuuHwZmxkhpUUIe3fj2G0577Bav3laK0vg0qpQIjsuOQmxQlnlD4kj4p0WIJvD1iI9jv3dAauulbruieOzQdt07pi/NHZMIksOMltwj8uE8ylX+9swh/n6hGRJgKiy8diXOHZmBEdrw/lh5SUHATojjqccPJMTfy4gfV7/eUoLiuFa+vP4Zj5km0Z/RJFg+2aw+wNuCpsVpxUJ49UzH312TEhYuNngLNc8N/75zESJeMewqFAtdO6CleD1Mp8NLFw/HUvCHQqJUoqm0N+EGh3Ql/GIoBQKlUYJTsS2p0Trx4YsAJD1Ph7MFp4vV+qdGIi2BfgJP6JiM5WosJvZNwy5Q+5udgn8X9xfV4Zd1RlDfo8O8vdgMABmXEIFIT2GJ8jJb9bp0VIwQreqNJPE7ONXeCfvL8IchNikTvlCh8uHAcAGDjsUpxlM1P+9n+t07pg57JgVt9FGwE9ieBcBuelrJVBs6x7lLM1ZqTlc0oMg+865cWjbG5CdiRX4tD5h4V8ZFhiAlXo7ZFz0zFNtTTEjEtFSEacgPtC7+zZmeOuH5SL1w4ugfaDSZEatViv5CUaC2K61pR1aQLiOFxhLwU3PfmxzG5CfjtCBt8KE8jyZkzLAPf7S4R9+ckRGmw5aHpAACV+WQiKyECqTFai+aA3DA9Rqb0BCqictNJj6xg5e8T1ahr0SM5WoPxvVjFZUKUBr/cfRYUANQqJQakxeBIeSN+OliGS8ZkiSnFM83DMAnPQMpNiMJ73DhSbviXb555vtQx2VBIfsDslxYjSuGcuIgwRIfbP0gJgoCDJawJVWZcuDjHqklnQI1ssJ6/4cGNu0FIfKQGqbHhFo3QEsUZO4Hze3Z3ROVG7fuyWnlqabZsppOcyf1TxPfQaKsARaVUiIENwFRDvk9GXDjevnK09Fq5QRDchLOTrYYQ9dysMaebZg3NgFrm8QpTKcXrc2UFCaeqmlHboodWrcTgjNiOT0i4DQU3IUqNecZLko3uxBxeeVFY04rCmhaxpTanR3wEorXqDgfc+AgNos3ysq0y8s+2FGBPUT3Cw5SY2DcZkRq1OHhSXj7tb45XsGCud4pn5usAtmfsEP7FH038OON6JWLu8AzcMa2vRUsBOeFhKtw/ayAm90/BzKHpnT7nwok9MTonHm9cMQpzhmfg3pkDMKlvMqYPSuv0sf4mNoKnpUJTudl6ilWBTR1oX4WZbQ5u/jpeJR4Ph2fF+dwTFupQWipE4TNeEqPtBzcJURr0TonCycpmLDd3FE2IDENLuxE6g0kMSFJitMhJjBSVjrgIlpYCOva6KaxpwXOrDwFgnSy5KjJnWCaOlh/Fj3tLcLG5SoDT0m7Aqr2laGozIC4iDHNHZECr9n4KgY9Q6J/queDGesYO4X/8ZSgG2Bn7WzJ1xR7XnJ4rTl3ujNN7J2HFrRPF67dN7YvbpvZ1e42+JEZUfENPualpbsfJKqaCj8q2r6L1SYnGoIxYHCptwNu/scGpwaC6BRsUKoYo1c0sJ58U5bh6gasyX21ng/wGZ8Zi2kDWe2OgTCbl5akAO/uKMcvocmOgySTgnuV70NJuxPieiVh4Rk/xvjnD2RnpxmNVopGO8+nmfNz39V48teog/rN8D1buLHblV3WLZp1BVKr6e3DaLp+xU93UcWAi4R/81cSP6Egop6V2mb0zfVKikOBAMQek1BS3D1ir40TXoU97iMLTIskOlBtAMjDybsT9UmPwyNzB+OeZvfCPSb067AdYKTeytNTHm/Kw5VQNIsJUeOmS4RZ9NvqmxmBgegwMJgE/HSyzWENhjWU6jKeLvMkx82ukxGg7PRC5QhJ5bgIOqVqKDnf+hqelQtFQzLtEOxOozLHyX1Fw43no0x6i1DiYCC7H+kPVPy0GPeIj8PCcwaIKAUi9NwBWLcUNxeUNbXjsu/24/fOdeH4t68770OyBNlu/8w+09eDAGnNlFx8SV9rg/aoqXhnGU2+egv+9qyi48Qh/HK3EC2sPWwxsdRW90T+l4ERH+ElRKJaC86qnMU6kmHomR4ljaXISIzvtD0S4DnluQpA2vVFUVOx1C+X0S41GjFaNRvP+A9Jtf9kPTI9BQmQYGtoMSI8NFw3Fn20pQEu71MjvjD5JuOo0296Bc4em45V1R7HpRLVFZ2Netj44I5b1iKnzfrM/Pl6iX6rnUlIApaU8SV5VM276ZAda9Ub0So7CpWOz3XoeHtxoybDpd0TlptUAQRACcjCkOxiMJuwpZBWizvpn5o/sgf3FDZjYN8mbS+u2UHATgnDVJkylQGy443+xUqnAyJx4bDxWBYClj2yhVinx+T9PR32rHglRGvEMjAc2F4/JwqiceMwZlmG37XvP5CgoFMwDUd3cLp6t1Jq7KQ/JjMPPB8t90g/niLns3ZN+G4BKwT2F0STg3q/3oNXcAfvHvaVuBzeUlgoc+PGo3WiCzmAK6MGLrnC4rBGteiNiwtXo62T15fUTeyE7MRKn96bgxhvQpz0E4X6bxCiNU2dGXEZNjw0Xu6PaYlBGrPhBjJEFTUoFcP+5A3HVabkO++qEqZRIMSsbpbJRDKJyY55vVd7Q5vXxBce8lJaSl4ILfOBUEHKsvBEXvvMXNp2o9svrf7IpD9vyahEexg5Rfx2vQkVjG276ZDsmPv8rJj7/K5764SAAYF9RPS5a8jd+s9NmoN1cLUXBjf+J0qjBD0meqJiqaW7HVf/djJd+8s3AWp3BiJs/2YEX11q+3hZzCfionASnZ3oplQrMHJLu8JhLuA992kMQXimV2EmlFGfG4DSEqRQOezNYI29cd3rvJKdzxhnm9vMlsiGavGKgX2o01EoFTAJQ6cW0TkObXlSH+nlYueHVae1Gk80eQMHCx5vysbOgDu9vPOnz1xYEAR9vzgcAPHDuQAzKiIXBJGDBh9vw04FyFNe1oriuFR/+dQpfbS/EHct2Ykd+LT7bkm/z+fRULRUwKJUKsdLSE/OlHv12P/46Xo23fzuBnw+Udf6ALrL+UAXWHijDOxtOiCdoNc3tWLKBlXSfSQNzAwb6tPsYQRBgNHn3jN7ZSinOkMw4bHnobDx5/lCnXyMmXDrbmDPcdudVW2SKoxjYgaFNbxRTD4nRGnFQZYkXJ4jzTsydKVXuEKFRIVLDpPbqpnboDMagVHB45cfOglqfr/9QaSNOVjZDo1biojFZYtksH//x1LwhuMFcyXff13uRZ54RxvswWSM28SPPTUAgVUyxkxp331+r9pZYDKB8aOW+DulgQRC6ZEa3Rl4MsXofC6Ye/W4/qpra0T8tGtee4VyvIsL70Kfdxzy3+hAGP7YWB8zjCbwB/4A76k5sTWKUxqWDP1dulArg3CGdd1XlZFgN0eQDPtXmM7oMq+DHG4hmYg+npDjcd7OvuB5jnv4F93691yuv4y2adQYcLmOBRF2LXmxM5it+3MfmLE0dkIKY8DCLstk5wzJw7YSeuO/cgR3a1RfUtNj8ouRfbv7oUEx0hPe6qW1ux6zXN2Le23+5fMLX0m7AY98dAADcdFZv9EuNRlVTOx77br/Ffg+t3IehT/wkVkd2hZZ2A9YfLhev/7i3hAVYe0uhUirwyiUjfdJ8lHAO+rT7kNZ2Iz7bUgCdwYTPtxR47XWqXExLucOI7DgMz4rDPyb16rQiSw4PXvhgTW4mjo8Mg0KhENNW3pwgXljLzvB7eWkCL/97fL2jCE06g9iSPVjYU1gH+XcNV3F8gSAI4tnxHPOgyZ7JUbhwdA8M7RGLp+YNAcBUmFcvG4nsxAjcMKkXlAqgTW9CZWPHdKaYlvLDbCmiI9yvd7CkAYdKG7C3qB7HKlwLPtYfqkBNczuyEiLwnxkD8MqlI6BSKrBqb6n4/vlxbymWbS1Eu8GEzSe77h379XAF2vQmpMZooVAAOwvq8PBKFkzdNqUPhmXZmCBM+A0KbryMySRg04lq6AxGbDhSIVYXrd1fBoPRhOK6VuR5+MyYp6WSnExLuUOkRo3vb5+Eh+cMdulxGeYhmrzcW5peztbK01beTEuVmp+bq0ieJtms3HAzbqB6b0rqWrFmXynW7CtFfrX0HuT9Oji7CnwX3BwoaUBedQu0aiWmmztlA8DiS0di1R1nWgTSA9JjsPG+aXhk7mDxf2krNUXKTWDB01L7Zeq1MwF0dZMOB0uYosgDmPNHZEKjVmJ4VjxundIHAEsTfbe7GI/KVBxPHE9W7WGvefGYLIzrySZ+17fqMSgjFrdP69fl5yc8C5WCe5lFaw7h/Y2nMHtYOhSQzhyrm9vxzc4iPLOKzWHa9NB0C5NuV3AnLeUr+JdQqZiWYsoND258kZYqMT83n1buaXhairf9t56/FQgIgoBL3t0kjqCI0aqx9q7J6BEfIX7RnNEnCX+fqPapcvPRX3kAgGkDUxHlwuchNykSxXWtyK9uwVjzFw/AAps2PXluAgmeltpf3CDetjO/zm5/LM4tn+3E1lM1ePmSEfjtCKuMk/v97pjWD+sOluNwWSP+9cVui8d29XjSpDNYvGZGXDi2nqqBWqnAK5eMoPdWAEL/ES+y9VQN/vvnKQDMfLZmP4v8R5jlywdX7EOjzoBGnQGnKj2n3vAGcq6ki3wFDyjKG9pgNAmi5yY+kh3w0q2CH2/Anzs91jvBjfXfvd1oQpveaGdv/1DT3C4GNhlx4WjUGXD/13thNAnYVVgHALjhTGbaPVbRhHofzAL67XAFvtlZBIUCFqM/nCHHPKDVWrn560QV2o0mpMRovabUEa7B01LFsmad1mqhNU06A7bnsfTufV/vgc5gQq/kKAvflUatxFtXjsLk/ikY3zMRk/un4M7pTFEp7aJys/5QucVrXjQmCxeNzsIrl44QW1gQgQUFN16ipd2Ae7/eA0GQUi0mgR2E7505ULzOya/pGNzUt+jx3u8nUNHo2gez2snRC/4gJVoLpQIwmARUNelQ22yVlor3rnIjCIIY3GTGe+fLzpZiFmipKR4EZMSF47MbTkN4mBJ/Hq/CTZ9sR12LHuFhSpzZLwW5SZEQBGC3OeDZWVCLZVsLYHLCAFpa34r/bjzpVGBX36LHAyuY8fofE3tZqC/OkJPEgptCq+CGpy9mD02Hysn+I4R3ibVRoXiqqrlDpVNNczve+/0EGtv02CvzgfHtnGEZHfp49U2NwcfXj8dXN0/Ax9ePx+R+rDS7tMH540lhTQteXHsYz6w6iHc2HIfOYMQq8/to7nD2mpEaNV65dATmjezh9PMSvoXSUl7ipwNlyK9uQUZcOFbdeSau+WALDpQ04LwRGTi9dyKSo7WoatIhPjIMdS16m16Bd/84gSUbTmDN/jJ8c8sZTh+cXS0F9yVqlRJpseEorW9DSV2rmJaKj2IHPH52XdGog95o8nhvkprmdrQbTFAoIJadexpbXqfGNoPFrC5/w99v2YmR6J0SjftmDsRTqw7il0NMeh+VnYAwlRJjchKQX92Cv49XYWKfJNz48XZUNbWjtd2I6ztRVx79dj9+OVSBxjYD7prR3+G+3+4uRnmDDr2To3DPzAEu/z5cucmXfY50BiN+Mvc+4eZkwv/Y65q+M78WZw9OE68/8+NBrNhZjNL6NvGEYWiPWBwubYTBJGDuiM5bUMgLFOQjXxzxwtrDYjADAMW1rfj9aCUA19peEP6FghsvcbiUuf9nDE5DYpQGHy4ch+93l+DK03KgVinx3wVjcay8EYW1rXhj/TEUVHcMbniVze7COvzfHydxi9kw54iWdoPYNyYQ01IAUwtK69tQWt/WwVCcFKWBRqVEu9GE8oY2ZCVEevS1uWqTHK31Wp7clmIWaL4b/n7LNQcFC8/oiTCVAkV1rVArFbhgVBYA9v5dsasYP+4rxaR+yagyB84v/nQYUwakoLedVvP1LXrxC2HV3hL8++x+Drtl89Lz2cMy3GrJn5vIKt/kJwl/HqtCY5sBqTFajHVy3g/hfWLDLZWbcT0TsC2vFjsLpOCmTW/EzwdY2fXqfaUYaE4/XTQ6C/3TYlDfqsfA9M7TQbyySW8UUNWsQ2qM4xMaQRCwzZz+mjkkDT8dKMdn5srWPilRGODhpp+E9/BrWmrRokUYN24cYmJikJqaivnz5+PIkSOdPk6n0+Hhhx9Gbm4utFot+vTpgw8//NAHK3Yeaeo0+zCkxYbjn5N7iybJkdnxuGRsNnom2fYK6AxG7CuWqgleXXcUxyuaOn1drtpo1EpEaQKz5wI/myqtbxM9Nwlmz41SqUBaHAvKnCkHP17RiFs+3YHjTpaSlsh8Jt5CrtDw8QGNusCagswVDq54KJUKXDOhJx6cNQj3zhyIvqksaJkyIBWRGhWKalvx4lr22VQpFWjTm3DP8j0wmgQ0tOlxz/I9+G53sfj8Px8sg9489uBEZTOOdNJn5Cif9ZXu3pcH/z0qG3VYuasIl7z7t1imO9vBvDPC98RGSOfUCgWreAIsK6b+OFoppnIrGnXYeIwFymNyEzCxbzJmD3NOQQlTKZFq7p5u7btp0xvxwDd7Ld63JfVtKG/QQaVU4LXLRuHC0VLaac7wzJAZ9Nkd8Gtw8/vvv+O2227D5s2bsW7dOhgMBpxzzjlobnZsrr300kuxfv16fPDBBzhy5AiWLVuGgQMH+mjVznHUycGMopxupdwcKGlAu8GEhMgwTOqbjHajyaI7pj143jrZyblS/kDsUixLSyXIZlKlmc+ubPUssWbJhpNYs78Mr/x81KnXLmvgZeDeC26yEyKhUSvRIz5CPLtsDDTlhgc3SY6VsQiNCtMHsbNpHmw/f+EwxGjV2FlQh/9uPIknvz+Ir3cU4YU10rwdLuurzUGFo/euIAiykwH3GivGRYaJ3ab/89UebMurFf/XF4wiX0QgIVduMmLDMb4Xm1e3v7hebMJo/f4RBHaiMCjDdfOudYUm57vdxfhiWyGeXnVQfF0eYA3OiEWERoXH5w5BRlw4wlQKzBtJqc1gwq9pqbVr11pc/+ijj5CamoodO3Zg8uTJdh/z+++/4+TJk0hMZKbDnj17enupTmE0CShraENcRJhYCdDZwZp/uZTWt6LdYBJTJTvNH7IxuQkY3ysRfx6vwlEn1AlxrlQA+m048oooUbmRpXK44dCZgIBXWfx6uAJNOkOn5fQlXu5xA7Av2jX/OhNRGjXu+4aZZAM1LcWDa0fMGZaBH/awrsFJURpcMKoHBAG475u9eOmnIzCYHZ4l9W1obNPDYBTw13E2Zf62qX3x+vpj+HFvKe6e0d9mwF3eoENjmwEqpaJLjRVzEiOxr7geJgEYm5uAf07ujYy4cAzPinf7OQnPIx/dkpMUiV7JUQhTKdDcbkRxXSuSo7X45RBLSd0+rS9e++UYAGB4VrxbHrzM+HDsLuxYpMADqKqmdhTWtCInKdLiuAuwz/IPd0xCXUs7+jg57ZsIDAKqWqq+np0Z8qDFFt9//z3Gjh2LF198ET169ED//v1xzz33oLXVthtep9OhoaHB4scbHCipx4RF63Hl+5vF9v4pMVqHU7IBVj0UEaaCyVyRMuWl3/DQyn3il/aonARxuOPRss6DG+6JSPJid+KuwpWb4rpWWbWUdMDjAUpjJxVGNc3tOGVugKgzmLD+ULnF/QajCVf/dwtu+N928cys1Ms9bjh9UqKRHhcuDgls9MAEZE/RpjeKqkZuUufBxJQBKWKK89yh6VCrlLhkbBamDkgRAxvOsYomrDtYDoNJwKCMWPxzcm9o1UqcrGoWS8wBoKpJh3Nf+wP/+mKXmLLqmRTZpfb1/EQhIkyFVy4dgZlD0imwCUDkaancxCho1EoxqD1W3oQNRyrR0m5Ej/gI3Dqlr6jIjXHTN5Ue21G5qW7S4W/ZxPsdBcxnIx1348X7kqO16JtKXptgI2CCG0EQcPfdd2PSpEkYOtT+AMeTJ0/izz//xP79+7Fy5Uq89tpr+Prrr3HbbbfZ3H/RokWIi4sTf7Kzs72y/l7JUWho0yO/ugUrd7EcrjMSu0KhEM+eF687grzqFny+pQDrDrIv6jG5CWJq61RVc6dD4OrFNI9nB0J6Eu6rOFBSjwazoiEPAqPN1RSdqR3WnXOtUx+bTlbjz+NV+OVQuXhg43n3dB/1POGBWiCVgheZx09Ea9VOvU/Cw1S4ZkJPhIcpxUZrCoUCz180HOmx4RieFYfx5tLtY+WN+PsEU21mDE5DtFYtzoZ6aMU+tBtMEAQBD6/ch8Nljfhudwl+Mb/XO0vhdsb0ganQqJV4ct4Qp4I2wj/EWik3AKQTuPJGbJK9fzRqJa6f2AtatdJixpgr8BOZEllfnZ8OlFvMs9qZX4fWdqPYAdndQIoIHAImuLn99tuxd+9eLFu2zOF+JpMJCoUCn332GcaPH4/Zs2dj8eLFWLp0qU315sEHH0R9fb34U1hY6JX1R2rUmD6QeRO+2Mpeo5+T0X62ObjZfFKaQaQ3ClApFRieFYfMuHBEa9UwmATkVTv2I/FJu7Z6SQQKfVKiMSAtRjScAkC8bL28yVdnagfPj/OmiBuOVlo8hrdLBySDt9id2IueGzni7xJAwU2BzEzsrC/rgVkDcfjpWRYNy9Jiw/Hn/VOx8taJGNqD/Q+OlDVhhznoHNeTfUE8NGcQEqM0OFzWiEVrDuHDv/Lw0wFJZftym/nz0sXg5sLRWTjw5ExcOtY7JzCEZ4iRlYLzE7v+qTy4kd4/Y83vnzun98Xhp88V32OuIh/WW9vcjp0FtVixswiAdOzYkV+LvUV1MJgEpMZo0cNLPbAI3xEQwc0dd9yB77//Hr/99huysrIc7puRkYEePXogLk56ow8aNAiCIKCoqKjD/lqtFrGxsRY/3oL3QOBt9509E82VmTpVSoVYbjg4IxaRGjUUCoU4wbqz6bbcp2JdbhloyPtFxISroZbl0mOcVDu4hHzF+Bz0SYlCu8GEr3ew94DeaMJac48TgMndJpOAcm4o9tHBK1oM1AInuMl3wW/TGWqVEiqlQlQp/z5RhcKaVigUrCIQYLL+0/OYGvvRX3l4etVBAMAQc6AkfV667mnwdF8kwvOoVVIlpxjcmP/3e4vqcMjcRmN0DgtuFApFl4oj+Dy7U1XNmPnaH7jwnb+x3Xxi9Mj/t3fm4VGVZx/+zUySyTYJhOwQkkACIglJgISyqWyCBCjQKiAfS7QiinzUVvwKrVXcaOtabEVti4AtClIFt1SRJCBBVFS2gCxSQiAbCdmXSWbm+f5I5iRDFjKZNzPvDM99Xbkucs7kzu/MGWaevOuMpr3xfiisxO7mcWUjIntLOxmD6ToOfScgIjz00EN47733kJGRgejo6y+5PnbsWOTn56O6umVa9JkzZ6BWq69bGPU0E5qnzZrp6pt16w+ZMQP74K8Lh2NUdACW39qyrk3rv2w6o7J5mXxdBwtlyULr4qb3NeOSzAMOOysIDEYTjuY1jdEaHtkbS8ZEAQCe+/Q08q7WIvtcicWWAaeLqlBSo0ejkaBSQZke2tOYr0WmAcXmlpvI68yUsgZzq8sPzePCBofoLAaOpg4Lw7JbBqB/gDf6B3gjdVgYNqelKLNhANu7pRjn4d7xA3D7zSFKgWt+/ZwtrobRRAjz9xS2grh5ZmRpTQOKq/TQad3QP8Ab94yNRnJUAML9PWEiYFvzeja86rBr4NBPwBUrVmDbtm3YvXs3dDodCgub/tL29/eHl1fTC3vNmjW4fPkytm7dCgC4++678dRTTyEtLQ3r1q1DSUkJVq9ejXvuuUf5GUdhnjZrnlnS1Wb21tNxZw4LR0ywL7bfP9riMUrLzXUGFTtDtxTQ1DU1JMwPpwoqLWZKAZ0PKCYifHy8ACfzK1HXaITO0w0xQb6ICfLFR0cL8PWFq1j59vfK+jLh/p7Ir6jH2aIqZbxNsE5rt7/wu9oKZU/MM6UiBLTcmIm9ppBP6t92zMLa6UOwdvoQi2NjYwKx78wVuKlViOJxMjcMv7pmxeqoPt7K4p1AS6uNCIJ1ntCoVTCamrr63172E4suruGRvZHfPF4vdVgYpsWFCvvdjONwaMvNxo0bUVFRgdtuuw1hYWHK1/bt25XHFBQU4OLFi8r3vr6+2LNnD8rLyzFy5EgsXLgQM2fOxIYNGxxxCW0wD3oL9/dURvlfjwHNMwXc1CrcPjSk3ceY/6q93nTwSifplgKa9mkBgJBrWlFaBhS3HXNz6PxVPLTte7ya9SOApjdBtVoFtVqF5+4cBi93DY7klSvjl1ZMjAHQ9BeheRHEntpTqj18uzh+yJ7klYnrljLj5+luMY6pqwMyzS14McG+vLPyDYybRo0BQS3F7XCBA3o1apUyhmbFhJg2Y3fMq1cH+noo3aeM8+PQlhvz9NzO2Lx5c5tjN910E/bs2dMDiWzn9ptDsOaOmzA0vOuD3yL7+ODp2XEI9PXocOq4ubjJLa2F3mDscMqss3RLAcA9Y6OhbzRi+jX7teg6Gady/HI5gKYulZSoAKSNbenKjOzjg43/Mxy7j+SDiBAbosNdIyPwxAc5qG0wYlN20w7tYwb26aEraktn1+Ioiiqb1kIKFTyoOjZEh/zmWWnDW02l7Yy5SX1RVFGP0Xa8J4ycDArRKd2aXX39dJWnZ8fh2KVyLLul7RY2dyVHoKCiHqnDwqTcbJjpHvJ/AjoZarUK9996/T2gruV/fhLZ6fkQPy10nm6oqjfg/JWaDlfqVAYUS94tBTR14/3q9rabJOq0zeNU2unKOV3Y1PoyN6kfVk2ObXP+tsHBuG1wsMWxAYG+OF1UhZzmaZ4z7LiJotLF5sDi5lJZLTYduIAHbhsIPy83ZSyS6HFHg0J8se/MFfT2du/yYnxuGjVWTmp7H5kbD/MYRQ83tVV/HHaFWwYF4ZZBQe2e8/Zww5pruksZ54fbgZ0ElUqF2Ob9fswL17WHMubGCVpuOqKzdW7OFlu/TH/r8SADgnxwUzf3L+oO5pYbR465efqjU9iU/V9s/fKCsqWFh0bd5W7TrmLuihobE8izTRirMXdFjYoO4C5Kxmac9xPwBsTcjVBc2f6GkiYTKR+iOicYc9MRSkHQYIDJRMqmhyYT4Ww3Nlhs6tJrGjA4Iz7Mrh+8ymwpvQFEZPcP/Wq9AZmniwEAeVdrUdxc3ATptMKzTB0aijeXJitTwBnGGsYMDMQ/7x0lZEkAhuHy2IkIat5turiDDSWr9AaYhzE5w5ibjjB35RABNQ0tLR6Xy+tQ12iEh0aNSCsGw7Z+s0y1Y5cU0HItRhOhrtEo1E1E+P3uE/jFlm9Q34F776ki6JtXtS6oqFdaboJ6YCq8SqXChJuC28x+Y5iuMi42EMF+9llgk3FtuLhxIsz/6TvaLds8I0frpoane/f36HE0Wjc13DVNrQqtx6qYFzAcEORjsejf9RgRGQCd1g0p0QEYbMcuKQDw9tDAvJSL6LVu3j18CVu/zMXnp4qR+UNxu4/5qNWWFAUV9UphbK91fhiGYRwBFzdOxPVabirrnGcwcWeoVCqL7hyTidBgMCkbLFq72FuQTovsNROx9Z4U4Vmvh0qlUlpvKgUWN5fL6/Bk80q/gGURY6aqvhH7Tl9Rvi+sqFe6NHui5YZhGEYWnLfv4gYkyK/pA6mjlhvzYGJn7pIy46t1w9WaBlTWNSL1lQOoazAgqnkGTnf65B257o/O0x2V9Qahg4qf+fgkqvUGRAR4Ie9qHfb+UITaBgO8PVru/a4j+WgwmhAd6IMLpTVoMJqUqbbBOm76ZxjGdeGWGyfC3JXQ4ZgbJ1rA73qYWzvOl9TgVEElLpTWIqu5FcLWDRbtja6Lu5x3FaOJlBaZVxYMR/8Ab9Q3mpDRqmuqoKIOf0r/AQCwcFR/5bVzNK8cALfcMAzj2nBx40SYP5BKa/QwNC9T3hrzAn7O3i0FtBQE7W03MdjJipuWtW46X6U472ot8pr3feqM04VVqGkwwlfrhvi+/soqv+Zd0IkIj+48hiq9AYkRvbB0TBRCm3dG5jE3DMPcCHBx40T08dFCrWqaRXS1pqHNeVfqllKKm2LLjUI93dVC90SyB8oWDJ10S1XrDZj1lwP46V+zO5z5ZObb5t3QEyN6QaNWKdtYZJ4uVqZ+f3G2BFo3NZ6/MwFuGrXF1ggAEOzHxQ3DMK6L838K3kBo1CoE+mpRXKVHcZW+zZRJV+qWMg8oPts8iHjKzSHo19sLg0J00Kida4G4ruwM/vnJIpTVNhWnl8vrMDCo43FF3+c2FTfmJepvDvNDdKAP/ltSg72nipSZU3eP6o+Y5oUfw/wt99PibimGYVwZbrlxMoKUcTdtF/Jr6ZZy/prV3JVT0LxXUWSANx6fORQLUvo7Mla36MoWDBZTtsvbX6TRjLnlxryiq0qlUjZs/fd3l7HnZBEAYGZCy5o+Yde03AT6cnHDMIzrwsWNk2EeK9HejKmWrRecv+XG95qutTA77uQtmpYtGNofc1NZ34j9Z1qmbOdX1HXoKqnWI7e0aVxOUkTLzsnmcTf7z1xBTYMRfXt5IanVSsFhvVqKmwAfD7hbsU4QwzCMs8HvcE6GeQpvcWXb4qalW8r5W26uHTd07ZgRZ0J3nZabz08WoaHVAPHCio5bbr5r7pKKDfaFv3dLEXtTqA4Dg1o2q0wdZrnNROtuKR5MzDCMq8PFjZMR1Ml0cKXlxhVmS2kti5tQJy5urjeg+OPmLimd0hXX0nJTWFGP+7Yexr7mlp1vlfE2vS0cKpXKYmsJczeVmdbdUjzehmEYV4eLGycjuJOF/MwrFLvCbKlru6XCnbhbqldzC0tZOzPcTCbCofOlAICfjegHAMhvNebmb1+cx56TRXho23f4NrcM2766CAAYPbBPG9dPE8PhoVFjcIgOw/r5W5wL1mmVbSC4uGEYxtVx/k/BG4yWLRjaGVDsQmNudNqWa3BrniXmrIQ0z2prr7vpcnkdahqMcNeocOugIGw+eEFpuTGZCJ8cb2rVqao3YN7rX8JgIiRG9FKmf7dmYJAvPn34Fvh5urXZ8dtNo0aInycKKup5dWKGYVwebrlxMpSWm+pOxty4QLdU65abED9Pp5v+3Zrw5vEu+RV1IPO27c2cLW6a6j4wyBcRAU2PM88Q+z6vDAUV9fD20MDDTQ2DiaB1U+OFuxI63Dg0OtAHfTooBM1dezzmhmEYV4eLGyej9YDi1h+URKRMBXeJbqlWY26uncbsbJiLivpGE8prLWdMnSlqWqQwNkSnrCJc1bwP1YfNKw5PGxqKx2bcDLUKeGzGzZ2ugdMZEwcHw8tdg5TogO5eCsMwjFPg/J+CNxjm8RJ6gwmV9Qb4e7krXVQGU1Ox4wrdUq2vwZmngQOAp7sGfXw8UFrTgIKKevT28VDOnTHvdB7sC1+tG3SebqiqN+ByWZ3SJZU6LAyThoRgfnKETVO4V06KxfLbBvI0cIZhXB4ubpwMT3eN8gGYX16HugYjJr2QBe/mlg6NWgVvD42DU9pO624pZ54GbibU37O5uKnDzeF+yvGzrVpugKYurNP1VfjwaD6Kq/TQebphXGwgAAgpSriwYRjmRoDf6ZyQxObF2TJPF+PDo/moaTAqs6faG0zqjLhStxTQss5MfqtBxSYTKWNuBoU0b5PQvNjeP7/KBQBMHRoKrZvzF6sMwzD2hFtunJDU+DB8cbYEHx8raDOwVOcCXVIA4OGmhtZNDb3BpIxFcWbCe5lnTLWsYZNXVov6RhM83NSI7NO0AJ+5CDKPzUltZ1YUwzAM0znccuOETB0aCje1Cjn5lTiaVw61qmmNEwDo4+txnZ92HgKax6aYZxE5M+aipfW+UebBxAODfJXZYK1bqfy93DF2YKAdUzIMw7gG3HLjhPT28cDYmEBl1dpR0X3wx58NQ0yQb7uLuzkrT8+Ow+miKtwc5nf9B0uOuWhpvW+UMpg4xLfN44CmWVIebvz3B8MwjLVwceOkpA4LU4qbGQlh8HTXYOWkWAenEsukISGYNCTE0TGEYC5aCirqceJyBd7Yfx5H8soBAIOaBxMDlisxc5cUwzBM9+A/C52UqTeHwttDA093NaYNDXV0HOY6mIuWgop6PP3xSXxwNB8Xrzbt7p3Qr5fyuIFBvnDXqBDip3WpVjiGYRh7wi03Toq/tzv+/cAYmIg6XJGWkQfzFgwNBhMOnb8KAPhd6hBEBHhjbExLERPq74kd949Gb28PnrbNMAzTTbi4cWKGuMBYlBsFDzc1An21KGneNiMxohd+MX5Au49NumbHb4ZhGMY6+E9DhrET5ungANrd+JJhGIYRAxc3DGMnWs+Emh7PxQ3DMExPwcUNw9gJ81o3IyJ7W8yKYhiGYcTCxQ3D2ImZCeGI6uONlRNjHB2FYRjGpeEBxQxjJ0ZE9kbW6gmOjsEwDOPycMsNwzAMwzAuBRc3DMMwDMO4FFzcMAzDMAzjUnBxwzAMwzCMS8HFDcMwDMMwLgUXNwzDMAzDuBRc3DAMwzAM41JwccMwDMMwjEvBxQ3DMAzDMC4FFzcMwzAMw7gUDi1u1q9fj+TkZOh0OgQHB2P27Nk4ffp0l38+Ozsbbm5uSExM7LmQDMMwDMM4FQ4tbvbt24cVK1bg0KFD2LNnDwwGA26//XbU1NRc92crKiqwePFiTJo0yQ5JGYZhGIZxFlRERI4OYebKlSsIDg7Gvn37cMstt3T62Pnz5yM2NhYajQa7du3CkSNHuvQ7Kisr4e/vj4qKCvj5+QlIzTAMwzBMT2PN57dUY24qKioAAAEBAZ0+7s0338SPP/6Ixx9/3B6xGIZhGIZxItwcHcAMEeFXv/oVxo0bh7i4uA4fd/bsWfzmN7/BF198ATe368fX6/XQ6/XK9+YCqrKy0vbQDMMwDMPYBfPndlc6nKQpbh566CEcO3YMBw4c6PAxRqMRd999N9atW4dBgwZ1ybt+/XqsW7euzfGIiIhuZ2UYhmEYxjFUVVXB39+/08dIMeZm5cqV2LVrF/bv34/o6OgOH1deXo7evXtDo9Eox0wmE4gIGo0Gn332GSZOnGjxM9e23JhMJly9ehV9+vSBSqUSeh2VlZWIiIhAXl6ezeN5RLlkzCTSJWMmWV0yZhLpkjGTrC4ZM4l0yZhJVpeMmTqCiFBVVYXw8HCo1Z2PqnFoyw0RYeXKlXj//feRlZXVaWEDAH5+fjh+/LjFsVdffRUZGRnYuXNnuz+v1Wqh1WotjvXq1cvm7J3h5+cn7MaKcsmYSaRLxkyyumTMJNIlYyZZXTJmEumSMZOsLhkztcf1WmzMOLS4WbFiBbZt24bdu3dDp9OhsLAQQFN4Ly8vAMCaNWtw+fJlbN26FWq1us14nODgYHh6enY6TodhGIZhmBsHh86W2rhxIyoqKnDbbbchLCxM+dq+fbvymIKCAly8eNGBKRmGYRiGcSYc3i11PTZv3tzp+SeeeAJPPPGEmEA2otVq8fjjj7fpBnOkS8ZMIl0yZpLVJWMmkS4ZM8nqkjGTSJeMmWR1yZhJBFIMKGYYhmEYhhGFVIv4MQzDMAzD2AoXNwzDMAzDuBRc3DAMwzAM41JwccMwDMMwjEvBxQ3DMAzDMC4FFzeCycnJEeIxmUzIzc2FwWCQwiMaWXPJhNFoxKVLl3Dp0iUYjUYhTtlenyIxmUy4ePGiTc9VTzznzPUpKyvDkSNHkJOTg/r6+m57+P45BlH3TyjEdJuampo2X1FRUVRbW0s1NTVWudLT0yk4OJhGjBhBx48fp0GDBlFQUBAFBgZSZmam3T1ERGVlZbRs2TKaMmUKvfLKKxbn5s6da5VLVC6Rmfr06UP/+7//S0ePHrXq56xlwoQJVj2+sLCQFixYQF5eXhQSEkJBQUHk5eVFCxYsoPz8/C57ZHx9Eom7h2vWrKHCwkIiIvr++++pX79+FBwcTCEhIZSdnW1VJlHPORFRbm4uzZ07l+68804qKCigBx98kHQ6HY0bN44uXLjQZY+sr88DBw4o/66pqaEHH3yQhg0bRkuWLKGysjKrXHl5eZSamkpqtZrUajX17t2bvLy8aPXq1dTQ0NBlj4z3j8g+99AV7l9PwMWNDahUKlKr1aRSqdp8qdVqq1zDhw+nAwcO0IcffkghISH04YcfEhHRwYMHKTk52e4eIqJ58+bR6tWraefOnTRhwgSaO3cuGQwGIiJKTEy0yiUql8hMUVFR9NBDD1FAQACNHDmSNm7cSBUVFVY5zLRXSJi/+vXrZ5Vr8uTJ9Pzzz1NVVZVyrKqqip577jmaOHFilz0yvj6JxN3Dm2++Wfn31KlT6dNPPyUiom+++YZGjRplVSZRzzkR0R133EEvv/wyPfnkkxQfH09PP/00FRYW0ksvvURz5szpskfW12dSUpLy71//+te0aNEi+vLLL+mXv/wlLV682CrX5MmTacuWLVRaWkovvvgiPfXUU1RYWEhLliyhVatWWeWR7f4RibuHrn7/egIubmwgLS2N7r33XqqsrFSORUVFdcvV+k39Woc1b/iiPERECQkJyr+NRiMtW7aMZsyYQQ0NDVa7ROUSmcn8n1yv19O2bdtoypQp5OvrS4sWLaJ9+/ZZ5WqvkDB/b20hMXjw4G6duxYZX59E4u5hbGys8u/hw4d3+Du6gqjnvPXvNplMFBISYnFu2LBhXfbI+vpsfY8SExOptraWiJruZVxcnFWu+Ph4i+/NRanBYLC4v9dDxvtHJO4euvr96wl4zI0NbNq0CbNnz8akSZOQnp4OAFCpVN1ymUwmFBcX49y5cygtLcW5c+cAAFeuXEFDQ4PdPQCg1+uVf6vVarz++uuIjo7G7NmzrXaJyiUykxkPDw8sWLAAn332GXJycjBgwAAsXbrUKkdYWBiKiopgMpmUL6PRCJPJhPDwcKtcXl5e+OKLL9oc379/Pzw9PbvskfH1CYi7hykpKXjppZcAACNHjsT+/fsBAMePH7d6+XdRzznQ8hyrVCrEx8e3e84aZHt9EhHq6upQW1sLd3d3ZZNjtVoNNzfrdvRRq9UoKSkBAJw/fx5qddNHkkajgbu7e5c9Mt8/wPZ76Or3r0dwaGnlIpSUlND8+fNpyZIlFBER0S3HW2+9RX5+fuTn50f/+te/aOzYsZSamkphYWG0YcMGu3uImpr62xu7sHLlSqv/WhCVS2Qma1scOuPnP/857d27t91zs2bNssp16NAhiomJobi4OEpNTaUZM2bQ0KFDKSYmhg4dOmR1Nplen0Ti7mFZWRnNmTOHoqKiaNy4caTRaCgyMpLi4+Pp22+/tSqTyOd81KhRVF1d3eb41atX27QwdYasr89rWw3y8vKIiKi2ttbqlo2tW7dSeHg4paamUmhoKL3//vtERFRQUEDTpk3rskfG+0ck7h66+v3rCXhvKYG8++67yMrKwl//+tdu/XxZWRlMJhP69OmDqqoqfPbZZxgwYACSkpIc4ikoKIBGo0FwcHCbcwcPHsSYMWPsnktkplOnTmHIkCFdfry9OXz4MC5evAgA6N+/P0aMGNHtvxwBYOfOncjMzHT461P06+rcuXM4deoUGhsbERkZiREjRlj1860R8ZzX1tbCy8urzc8VFxfj0qVLGD58eJc8sr8+r6W8vBw//PADfvKTn1j1c6dPn8aJEyeQmJiIgQMH2pRBpvsHONc9lOH+iYSLG4ZhGIZhXAoec2MDtbW1WLt2LaKjo6HVaqHVajFgwACsXbsW1dXVwn7PkiVLHJKpsbERf/jDH7Bs2TJ89NFHFudWrlxplUtULhkzic7VGda8Flz9uZIxk+hcHWHN6wAAKioq8Mgjj+DRRx9FdXU1nnvuOSQkJGDRokUoKysTkqk7uUQ97852/wDHva+LygTY732vO3BxYwNLlixBVVUVPvnkE5SXl6O8vBwfffQRqqqqrH6RdEZmZqZDMq1cuRJHjhzB4MGDsXr1ajz88MPKuezsbKtconLJmEl0rs6w5rXg6s+VjJlE5+oIa14HALBs2TIYjUaUlZVh1qxZOH/+PN544w0EBwdbXKu9c4l63p3t/gGOe18XlQmw3/tet3DoiB8np7OpbtZOgwsKCmr3KzAwkNzc3BySadiwYWQymYiIqLq6mmbMmEH3338/EVk/UE5ULhkzic4l6rXg6s+VjJlE5hL1OiBqmbJrMBgoICCAGhsbiahp+u+103ntmUvU8y7j/SOS831dxvvXE1g374uxQKPR4OzZs4iNjbU4fubMGWg0GqtcRIS9e/fC39+/zfGxY8c6JFNjY6MyqM7Hxwfvv/8+7rrrLtx3331WeUTmkjGT6FyiXguu/lzJmElkLlGvAwDKFF+NRoP+/fsr36vVamX6riNyiXreZbx/gJzv6zLev56AixsbeO655zB+/HgkJycjMjISKpUK//3vf3H48GH8/e9/t8o1YsQIlJaWYtiwYW3OhYaGOiRTUFAQTpw4gbi4OABNb5A7duzAvHnzcOzYMatconLJmEl0LlGvBVd/rmTMJDKXqNcB0FTE6PV6aLVafP3118rx2tpakJVzSkTmEvW8y3j/ADnf12W8fz0Bz5aykZqaGqSnp1tMP5w2bRp8fX2t9ri7u8PDw0OaTCdOnICnpydiYmIsjhuNRmzfvh1333233XPJmEl0LlGvhRvluZItk6hcIt8TLly4gL59+7ZZWC0vLw8nTpzAHXfc4ZBcop53Ge+f2SPb+7qM969HcEBXmEtz4sQJ6VwyZhLpkjGTrC4ZM4l0yZhJpEvGTLK6ZMwk0iVjJtEuW+DiRjCtNyWTxSVjJpEuGTPJ6pIxk0iXjJlEumTMJKtLxkwiXTJmEu2yBZ4KLhgS2MsnyiVjJpEuGTPJ6pIxk0iXjJlEumTMJKtLxkwiXTJmEu2yBS5uBHPLLbdI55Ixk0iXjJlkdcmYSaRLxkwiXTJmktUlYyaRLhkziXbZAg8oZhiGYRjGpeCWmx7it7/9rcNc77zzDp599lkcOXLE4vj69eut/t2iXI2NjfjLX/6CV199FQaDATt27MBPf/pTPPbYY2hoaLC7pyPi4+Ntdtjq0uv1Ft/v3LkTq1atwubNmx3iAYBdu3ahtLQUAFBSUoJ58+ZhwIABmDNnDvLz8x3i+vnPf45du3bBaDRa9ft72nX+/HnMnz8fjzzyCGpra5GWlobo6GjMnDlTmeliT49ol8FgwPPPP4/ExET06tULQUFBuPXWW/HJJ59Y5RHpMplM+Nvf/oaJEyciJiYGMTExmDhxIt544w0h99QMv6/3rEsk3HLTQ/Tv39/qNw0Rrt/97nfYt28fEhMTsXPnTvzmN7/BqlWrAADDhw/Hd9991+XfK9L1wAMPoLi4GHV1dfD394der8e8efPw3nvvITQ0FH/+85/t6gGAlJSUNseOHTumrP/Qej0Qe7paP7cbN27Ea6+9hgULFuCjjz7C1KlT8dhjj9nVAwBDhgxBTk4O1Go1li5din79+mHhwoVIT09HRkZGm31l7OEKCgpCWFgYiouLsWjRItx777246aabupyjp1yTJk3CxIkTUVlZiYyMDEycOBFLlizBBx98gH379iE9Pd2uHtGu++67D0SE6dOn45133kFcXBwGDx6MP/zhD3jwwQetWsBNlGv58uUoKCjA8uXLERUVBSJCbm4uXnvtNYSGhuL111/vcqbO4Pf1nnMJp+fHLLsuycnJ7X6NHDmStFqtQ1zx8fGk1+uJiKigoICSk5PpmWeeISLrl8MW6YqLiyMiorq6OtLpdFRTU0NERHq9XjlnTw8R0ZAhQ+gXv/gF7du3j7KysigzM5NCQ0MpKyuLsrKyHOZq/dympKTQpUuXiIiosrLSqmsU5SFqur72vO19by+X+bFfffUV3X///dSrVy8aM2YM/eMf/6Dq6mqrMol0DRs2jIiITCYThYWFWZxLSEiwu0e0q/X90+v1NH78eCIiunLlisU5e7piYmLaPW4ymWjgwIFWZeL3dce4RMMrFNvAmTNn8Pbbb8Pb29viOBFh3rx5DnGZTCZlcabQ0FB8/vnnuOOOO2A0GpVlsh3hMi8e5unpiYEDByrX6eHhoSwFb08PAHz//ff47W9/ixdffFH5C8/Lywu33nqrVR7RrtbPrdFoRN++fQEAOp3OqmsU5QGAkJAQfPnllxg9ejT69euHwsJChIaGoqqqCo2NjQ5xma8vJSUFKSkpeOmll7Bz505s2rQJDz/8MCoqKhziMhqNMJlMqK2tRWVlJaqqqqDT6WAwGNp0FdrDI9ql0WhgNBqh0WjQ0NCg7EodGBho9VYAolwqlQolJSUIDAy0OF5SUmL1exW/rzvGJRoubmwgKSkJ/v7+GDNmTJtz1q7+KMrl6+uLCxcuICoqCgDg5+eHTz/9FFOnTkVOTo5VmUS6iEh5E9u1a5dy3GAwwGAw2N0DAFqtFs8//zy++OILzJw5EytWrLDq53vKdfr0aaSkpICIcPbsWeWDiIis+vAX5QGADRs2YM6cORgzZgxCQ0MxatQoTJgwAd988w3WrFnjEBdd06Pu5eWFRYsWYdGiRTh//rxVmUS6pk+fjrFjx0Kv12PZsmWYP38+JkyYgL1792L8+PF294h2TZ06FampqZg8eTJ2796NuXPnAgAqKiqs/j8oyvV///d/SEhIwNy5cy22J9i1axfWrVtnVSZ+X3eMSzQ85sYGcnNz4efnh969e7c519DQYNWLV5QrMzMTAQEBSEhIsDheU1ODP//5z1i7dm2XM4l0HTp0CImJifD09LQ4fv78eWRlZeGee+6xq+daampqsHr1amRnZ+Po0aPdcohy7du3z+L7ESNGwNfXF4WFhfj3v//d5cJJlMdMXV0dtm3bhpMnT6KxsRGRkZG46667EBERYZVHlOutt97CokWLrP7dPe0CgA8++AAAMHPmTHz77bfYsmULBgwYgBUrVlj1viDKI9JFRPjHP/6Bo0ePIjk5GYsXLwbQNIC9oqICwcHBDnFduHABO3futNie4Gc/+xmio6O77AD4fd1RLtFwccMwDMMwjEvB3VI2smfPHrz99tsWfy3Mnz8ft99+u8NcMmYS6ZIxk6wuGTOJdMmYqSPXggULMGXKFId47OGS4Xlvj9deew3Lly93WZeMmUS7ugO33NjA73//e6Snp+Oee+6xmH64adMmTJs2DU899ZTdXTJm4uvj54qvj6+vp10d4ajp2/ZyyZhJtKs7cHFjA7GxscjJyWnTb6rX6zF06FCcO3fO7i4ZM4l0yZhJVpeMmUS6ZMwk0iVjJlldd911V7vHiQjp6enKLCxndcmYSbRLNNwtZQNEBJPJ1Oa4yWSyevMwUS4ZM4l0yZhJVpeMmUS6ZMwk0iVjJlldH3/8MV5++eU2RRIRITMz06pMMrpkzCTaJRoubmxg6dKlSE5OxtKlS5XphxcuXMCWLVuQlpbmEJeMmfj6+Lni6+Pr60lXYmIikpKSMHLkyDbnrFmJW1aXjJlEu0TD3VI2sn//fuzYscNiMNydd97ZrcXbRLlkzCTSJWMmWV0yZhLpkjGTSJeMmWR0HT58GOHh4QgPD29z7vz58xgwYIBTu2TMJNolGi5uGIZhGIZxKXhXcMGMHj1aOpeMmUS6ZMwkq0vGTCJdMmYS6ZIxk6wuGTOJdMmYSbTLFri4EUx9fb10LhkziXTJmElWl4yZRLpkzCTSJWMmWV0yZhLpkjGTaJctcHEjmGs3SJPBJWMmkS4ZM8nqkjGTSJeMmUS6ZMwkq0vGTCJdMmYS7bIFHnPDMAzDMIxLwS03NpKXl4eDBw9Cr9dbHN+zZ4/DXDJmEumSMZOsLhkziXTJmEmkS8ZMsrpkzCTSJWMm0S6hENNttm/fTkFBQRQXF0f9+vWjgwcPKueSkpIc4pIxk0iXjJlkdcmYSaRLxkwiXTJmktUlYyaRLhkziXaJhosbG0hKSqK8vDwiItqzZw9FRETQ3r17iYgoMTHRIS4ZM4l0yZhJVpeMmUS6ZMwk0iVjJlldMmYS6ZIxk2iXaLi4sYGEhASL748dO0ZRUVH02WefWV21inLJmEmkS8ZMsrpkzCTSJWMmkS4ZM8nqkjGTSJeMmUS7RMPFjQ3ExcVRZWWlxbGcnByKioqigIAAh7hkzCTSJWMmWV0yZhLpkjGTSJeMmWR1yZhJpEvGTKJdouHixgY2bNhAGRkZbY6fPHmSpkyZ4hCXjJlEumTMJKtLxkwiXTJmEumSMZOsLhkziXTJmEm0SzQ8FZxhGIZhGJeCp4LbSENDA/Lz89scz8nJcZhLxkwiXTJmktUlYyaRLhkziXTJmElWl4yZRLpkzCTaJRSHths5ORkZGdS7d2/y9/en4cOH09mzZ5Vz1g6mEuWSMZNIl4yZZHXJmEmkS8ZMIl0yZpLVJWMmkS4ZM4l2iYaLGxsYNWoUHT16lEwmE/3973+nyMhIOn78OBFZPw1OlEvGTCJdMmaS1SVjJpEuGTOJdMmYSVaXjJlEumTMJNolGi5ubODam/f5559TZGQkHTlyxOqqVZRLxkwiXTJmktUlYyaRLhkziXTJmElWl4yZRLpkzCTaJRoubmxgyJAhVF9fb3EsKyuL+vfvT6GhoQ5xyZhJpEvGTLK6ZMwk0iVjJpEuGTPJ6pIxk0iXjJlEu0TDA4ptYM6cOcjKyrI4duutt+Ktt96CTqdziEvGTCJdMmaS1SVjJpEuGTOJdMmYSVaXjJlEumTMJNolGp4KzjAMwzCMS+Hm6ADOjslkwoEDB3Dx4kUAQP/+/TFu3Dio1dY3iolyyZhJpEvGTLK6ZMwk0iVjJpEuGTPJ6pIxk0iXjJlEu0TCxY0NZGdnY+HChQgNDUVkZCSICLm5uSgqKsI///lPjBs3zu4uGTPx9fFzxdfH19eTLhkz8fVZ5xKOncb2uCTx8fH0zTfftDn+9ddfU1xcnENcMmYS6ZIxk6wuGTOJdMmYSaRLxkyyumTMJNIlYybRLtFwcWMDsbGx3TrXky4ZM4l0yZhJVpeMmUS6ZMwk0iVjJlldMmYS6ZIxk2iXaHi2lA0MHDgQTz75JEpLS5VjpaWlWLduHaKjox3ikjGTSJeMmWR1yZhJpEvGTCJdMmaS1SVjJpEuGTOJdgnHoaWVk1NcXExpaWnk6+tLPj4+5OvrS76+vpSWlkZFRUUOccmYia+Pnyu+Pr6+nnTJmImvzzqXaHgquCCuXr0KAAgICJDGJWMmkS4ZM8nqkjGTSJeMmUS6ZMwkq0vGTCJdMmYS7RIBd0vZQG5uLqZOnYpBgwbh2Wefhbe3t3Ju9OjRDnHJmEmkS8ZMsrpkzCTSJWMmkS4ZM8nqkjGTSJeMmUS7RMPFjQ088MADmDVrFt5++21cuXIFkyZNQlVVFQCgvr7eIS4ZM4l0yZhJVpeMmUS6ZMwk0iVjJlldMmYS6ZIxk2iXcBzaKebkXLsx2DPPPEPJyclUXl5u9aZholwyZhLpkjGTrC4ZM4l0yZhJpEvGTLK6ZMwk0iVjJtEu0fAifjZQW1tr8f3atWvh4eFhUb3a2yVjJpEuGTPJ6pIxk0iXjJlEumTMJKtLxkwiXTJmEu0SjkNLKydn9uzZlJ6e3ub4Cy+8QCqVyiEuGTOJdMmYSVaXjJlEumTMJNIlYyZZXTJmEumSMZNol2h4tpQN6PV6AIBWq21z7vLly+jbt6/dXTJmEumSMZOsLhkziXTJmEmkS8ZMsrpkzCTSJWMm0S7RcHHDMAzDMIxLwbOlGIZhGIZxKbi4YRiGYRjGpeDihmEYhmEYl4KLG4ZhGIZhXAoubhiGkY6lS5dCpVJBpVLB3d0dISEhmDJlCjZt2gSTydRlz+bNm9GrV6+eC8owjJRwccMwjJRMmzYNBQUFuHDhAtLT0zFhwgSsWrUKM2bMgMFgcHQ8hmEkhosbhmGkRKvVIjQ0FH379sXw4cOxdu1a7N69G+np6di8eTMA4MUXX0R8fDx8fHwQERGBBx98ENXV1QCArKwspKWloaKiQmkFeuKJJwAADQ0NePTRR9G3b1/4+Phg1KhRyMrKcsyFMgwjHC5uGIZxGiZOnIiEhAS89957AAC1Wo0NGzbgxIkT2LJlCzIyMvDoo48CAMaMGYOXX34Zfn5+KCgoQEFBAR555BEAQFpaGrKzs/HOO+/g2LFjuPPOOzFt2jScPXvWYdfGMIw4eBE/hmGkY+nSpSgvL8euXbvanJs/fz6OHTuGkydPtjn37rvv4oEHHkBJSQmApjE3v/zlL1FeXq485scff0RsbCwuXbqE8PBw5fjkyZORkpKCZ599Vvj1MAxjX3jjTIZhnAoigkqlAgBkZmbi2WefxcmTJ1FZWQmDwYD6+nrU1NTAx8en3Z//7rvvQEQYNGiQxXG9Xo8+ffr0eH6GYXoeLm4YhnEqTp06hejoaOTm5mL69OlYvnw5nnrqKQQEBODAgQO499570djY2OHPm0wmaDQafPvtt9BoNBbnfH19ezo+wzB2gIsbhmGchoyMDBw/fhwPP/wwDh8+DIPBgBdeeAFqddPwwR07dlg83sPDA0aj0eJYUlISjEYjiouLMX78eLtlZxjGfnBxwzCMlOj1ehQWFsJoNKKoqAj/+c9/sH79esyYMQOLFy/G8ePHYTAY8Morr2DmzJnIzs7Ga6+9ZuGIiopCdXU19u7di4SEBHh7e2PQoEFYuHAhFi9ejBdeeAFJSUkoKSlBRkYG4uPjMX36dAddMcMwouDZUgzDSMl//vMfhIWFISoqCtOmTUNmZiY2bNiA3bt3Q6PRIDExES+++CL++Mc/Ii4uDv/617+wfv16C8eYMWOwfPlyzJs3D0FBQfjTn/4EAHjzzTexePFi/PrXv8bgwYMxa9YsfPXVV4iIiHDEpTIMIxieLcUwDMMwjEvBLTcMwzAMw7gUXNwwDMMwDONScHHDMAzDMIxLwcUNwzAMwzAuBRc3DMMwDMO4FFzcMAzDMAzjUnBxwzAMwzCMS8HFDcMwDMMwLgUXNwzDMAzDuBRc3DAMwzAM41JwccMwDMMwjEvBxQ3DMAzDMC7F/wM2zQcEwK20qQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 福建高速\n",
    "fjgs =  ak.stock_zh_a_daily(symbol=\"sh600033\", start_date=\"20220101\", end_date=\"20230101\",adjust=\"qfq\")\n",
    "#print(fjgs[:-3])\n",
    "#print(fjgs.index)\n",
    "# 楚天高速\n",
    "ctgs = ak.stock_zh_a_daily(symbol=\"sh600035\",  start_date=\"20220101\", end_date=\"20230101\",adjust=\"qfq\")\n",
    "df = pd.DataFrame(index=fjgs.index)\n",
    "# 使用np.log 取对数的方式对数据进行归一化\n",
    "df[\"date\"] = fjgs[\"date\"]\n",
    "df[\"fjgs\"] = (fjgs[\"close\"])\n",
    "df[\"ctgs\"] = (ctgs[\"close\"])\n",
    "print()\n",
    "#print(df)\n",
    "# Plot the two time series\n",
    "plot_price_series(df, \"fjgs\", \"ctgs\")\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 107,
   "id": "f6d1cfeb",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1.1769674690078928\n",
      "                                 OLS Regression Results                                \n",
      "=======================================================================================\n",
      "Dep. Variable:                   ctgs   R-squared (uncentered):                   0.999\n",
      "Model:                            OLS   Adj. R-squared (uncentered):              0.999\n",
      "Method:                 Least Squares   F-statistic:                          2.482e+05\n",
      "Date:                Fri, 15 Dec 2023   Prob (F-statistic):                        0.00\n",
      "Time:                        12:29:52   Log-Likelihood:                          218.82\n",
      "No. Observations:                 242   AIC:                                     -435.6\n",
      "Df Residuals:                     241   BIC:                                     -432.2\n",
      "Df Model:                           1                                                  \n",
      "Covariance Type:            nonrobust                                                  \n",
      "==============================================================================\n",
      "                 coef    std err          t      P>|t|      [0.025      0.975]\n",
      "------------------------------------------------------------------------------\n",
      "fjgs           1.1770      0.002    498.228      0.000       1.172       1.182\n",
      "==============================================================================\n",
      "Omnibus:                       10.776   Durbin-Watson:                   0.129\n",
      "Prob(Omnibus):                  0.005   Jarque-Bera (JB):               11.226\n",
      "Skew:                           0.526   Prob(JB):                      0.00365\n",
      "Kurtosis:                       3.069   Cond. No.                         1.00\n",
      "==============================================================================\n",
      "\n",
      "Notes:\n",
      "[1] R² is computed without centering (uncentered) since the model does not contain a constant.\n",
      "[2] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n"
     ]
    },
    {
     "data": {
      "image/png": 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61KeYPn06+/fv51//9V8HPL+4uJhLLrmESy65hA9/+MOcd955dHR0UFZWlnHeCSecwMMPP0wgEEj1ANu4cWPGOZWVlXR3d+Pz+XA6nQB9ahC99NJLXHXVVXzwg2rdXE9PDwcPHhz0e7Lb7Vx00UVcdNFFfPrTn2bRokW8+eabrFq1KpsfybBMzH99IYQocMnMkDEaGOeRiMnszDPP5MQTT+TrX/86t956K9dffz3FxcWcf/75hEIhNm/eTGdnJzfeeCPf+973mDZtGitWrMBgMPDb3/6WmpqaPjvCAC6//HK+8pWvcPXVV/Pf//3fHDx4kG9/+9sZ56xduxaHw8GXv/xlPvvZz7Jp0yYeeuihjHPmzZvH448/zoUXXoimaXz1q18lHo8P+P089NBDxGKx1LUffvhh7Hb7oOub8kHWDAkhxCgwJjJD5pgEQ2J03Xjjjdx3332ce+653H///Tz00EMsXbqUM844g4ceeojZs2cD4HK5uOuuu1izZg0nnXQSBw8e5KmnnsJg6BsKuFwunnzySd555x1WrlzJV77yFe66666Mc8rKyvjlL3/JU089xdKlS3nkkUe49dZbM8753ve+R2lpKaeccgoXXngh55577qAZnpKSEu677z5OPfVUli1bxt///neefPJJysvLR/6DGoSmZzMxOIV5vV7cbjddXV0UFxeP93CEEBPEvq+tYG7sAHuNc5n31S3jPRyREAwGOXDgALNnz8Zms433cMQIDfbvmcv7t2SGhBBiFJh0tQPGGpfMkBCFToIhIYQYBclpMqseHOeRCCGGIsGQEEKMgmRmyK5LZkiIQifBkBBCjAITKhhyEEQfZPeMEGL8STAkhBCjwEJia72mEwpJdqjQyN6hySFf/44SDAkhxChITpMBBHq84zgS0VuyirHfL5XBJ4Pkv+NIq1NL0UUhhBgFZnoFQz4vpZXTxnE0IsloNFJSUkJLSwsADodj2F3jxfjRdR2/309LSwslJSWpliPDJcGQEELkWTwWw6zFUl+HA93jOBpxvJqaGoBUQCQmrpKSktS/50hIMCSEEHkWiYSw9vo65JNpskKiaRrTpk2jqqqqT2NRMXGYzeYRZ4SSJBgSQog8C4eCGcFQRDJDBcloNObtzVRMbLKAWggh8iwaDmV+HZTO9UIUMgmGhBAiz6KR44MhyQwJUcgkGBJCiDyLHJcZigV7xmkkQohsSDAkhBB5Fotk9iPTwzJNJkQhk2BICCHyLBqWYEiIiUSCISGEyLNoJJx5ICzTZEIUMgmGhBAiz2LHLaA2RKT1gxCFTIIhIYTIs9hxmSEJhoQobBIMCSFEnsWjmZkhY1SCISEKmQRDQgiRZ8cHQ6aYBENCFDIJhoQQIs/ix60ZMscC4zQSIUQ2JBgSQog8i0Uz1wxZ4hIMCVHIJBgSQog80xMLqH26DQCrBENCFLQJFwz95Cc/Yfbs2dhsNlavXs1LL7004Lkvv/wyp556KuXl5djtdhYtWsT3vve9MRytEGIq0mMqGOrWigCw6sHBThdCjDPTeA8gF48++ig33HADP/nJTzj11FO59957Of/883nnnXeYMWNGn/OdTief+cxnWLZsGU6nk5dffplPfvKTOJ1O/uM//mMcvgMhxFSgJ6bJfEYXxFqxSzAkREHTdF3Xx3sQ2Vq7di2rVq3ipz/9aerY4sWLufjii7nzzjuzusaHPvQhnE4nDz/8cFbne71e3G43XV1dFBcXD2vcQoipZeOvbmfdnu/wtmU5J4a3E9c1tFs60AwTLhkvxISVy/v3hPnNDIfDvP7665xzzjkZx8855xxeeeWVrK6xdetWXnnlFc4444wBzwmFQni93ow/QgiRCz0WASBkcQNg0HRCQdleL0ShmjDBUFtbG7FYjOrq6ozj1dXVNDc3D/rYuro6rFYra9as4dOf/jTXXHPNgOfeeeeduN3u1J/6+vq8jF8IMYUk1gxFzelPo/6ervEajRBiCBMmGErSNC3ja13X+xw73ksvvcTmzZu55557uPvuu3nkkUcGPPfmm2+mq6sr9aexsTEv4xZCTCGJYEg32QjoFgCCvu7xHJEQYhATZgF1RUUFRqOxTxaopaWlT7boeLNnzwZg6dKlHDt2jFtvvZXLLrus33OtVitWqzU/gxZCTE3JYMhgJqDZsBMmFJBgSIhCNWEyQxaLhdWrV/PMM89kHH/mmWc45ZRTsr6OruuEQqGhTxRCiGHSksGQ0UJQU7WGQn5ZfyhEoZowmSGAG2+8kSuuuII1a9awfv16fvazn9HQ0MC1114LqCmuI0eO8Itf/AKAH//4x8yYMYNFixYBqu7Qt7/9bT772c+O2/cghJj8ksEQRgshzQ46RPw94zsoIcSAJlQwdMkll9De3s7tt99OU1MTS5Ys4amnnmLmzJkANDU10dDQkDo/Ho9z8803c+DAAUwmE3PnzuUb3/gGn/zkJ8frWxBCTAFaXO0mw2QhbLBDHKJBmSYTolBNqDpD40HqDAkhcvXa9z7CSV1/Y+O8z+NsfIGloS28tvJOTvrAdeM9NCGmjElZZ0gIISYKQzIzZLQQMbsAiAdka70QhUqCISGEyDNDYs2QZrIQNav+ZPGgBENCFCoJhoQQIs8MusoMaSYLcYsKhrSg7CYTolBJMCSEEHmWnCYzmKzoVrVWQYvIbjIhCpUEQ0IIkWdGPQqAwWRBs6lgyBSW3WRCFCoJhoQQIs+MvTJDBrtq1mqKSDAkRKGSYEgIIfLMqCeDIQsmu8oMWWO+8RySEGIQE6roohBCTASmZDBktmA2lgISDAlRyCQYEkKIPEuuGTKarRjNqjeZPS7BkBCFSqbJhBAiz5KZIaPZhr2oBACnLsGQEIVKgiEhhMgzE+nMkL1ITZM5CRKPxcZzWEKIAcg0mRBC5FkyGDKZLbiKywAwaDrdPV10NDcQj4aYfeLa8RyiEKIXCYaEECLPLHoENDBZrFhtDsK6EYsWo7uzFfcj78OiRwj+135sDtd4D1UIgUyTCSFE3pl7TZNpBgM+zQlA+6G3KaEHhxaiq+PYeA5RCNGLBENCCJFHejyORVPBkNmidpL5NTsAviPvpM4L+aUIoxCFQoIhIYTIo2g0krptSgRDAYOaDtPa96TuCwekV5kQhUKCISGEyKNIOJi6bbFYAQgZ1TSZq3t/6j4JhoQoHBIMCSFEHkVC6WDInAiGwiaVGaoON6TPC8g0mRCFQoIhIYTIo0gkBEBc1zAa1YbdqFkFQxV4UufFgpIZEqJQSDAkhBB5FA2rYCiCCc2gXmLj5qI+58VCUpFaiEIhwZAQQuRRMhgK9yrjFrcW9zkvLsGQEAVDgiEhhMijWGKaLKqZU8c0W99gSA9LMCREoZBgSAgh8ii5myzSKzMkwZAQhU2CISGEyKN0ZigdDBkd7j7naRIMCVEwJBgSQog8ikXD6u9emSGzo6TPeVo0MFZDEkIMQYIhIYTIo3gqM2RJHbM6S/qcZ4j6x2pIQoghSDAkhBB5lMwM9Z4ms7pK+pxnkmBIiIIhwZAQQuRRMjMU67WbzF5Umrrt11VVamNMpsmEKBQSDAkhRB7Fo4lgyJDODDmLy1K3m0y1AJglGBKiYEgwJIQQeaQnpsnivTJDTpebuK4B0GWvB8ASD/Z9sBBiXEgwJIQQeZQKhgzpYMhgNOLDBkCoeBYgwZAQhUSCISGEyKN4cmu9wZJxvNVYDYClbhUANl2myYQoFKahTxFCCJEtPaaCIb1XZgjA+rFf81bTfqqqZsAmsOmSGRKiUEgwJIQQ+ZRYQB0/LhiaPudEps85kZYjBwCwE0KPx1Od7YUQ40d+C4UQIo8GygwlWR1FAJi0OOGwZIeEKAQSDAkhRD4lMkO60dLv3Q5nUep2oMc7JkMSQgxOgiEhhMgjLdQNQNzat1M9gNliJayrFQpBf/eYjUsIMTAJhoQQIo+MkR51Y4BgCCCgqSrUIQmGhCgIEgwJIUQeJYMhg61owHOCiZpD4UDPmIxJCDE4CYaEECKPzFEV4BhtA2eGggY7IMGQEIVCgiEhhMgja8wHgMnhHvCcsKYyQ9GgLKAWohBIMCSEEHlkjfsBMA8SDEWMKjMUDfrGZExCiMFJMCSEEHlkTwRDVufQwVAsJMGQEIVAgiEhhMgjp66CIXtRyYDnxBLBkC7BkBAFYcIFQz/5yU+YPXs2NpuN1atX89JLLw147uOPP87ZZ59NZWUlxcXFrF+/nr/+9a9jOFohxFQSi0ZxaqqqtN1VMvB5JgcA8ZAsoBaiEEyoYOjRRx/lhhtu4Ctf+Qpbt27l9NNP5/zzz6ehoaHf81988UXOPvtsnnrqKV5//XXe/e53c+GFF7J169YxHrkQYirw9XSlbjuLSwc8L25SmSEi/tEekhAiCxMqGPrud7/L1VdfzTXXXMPixYu5++67qa+v56c//Wm/5999993cdNNNnHTSScyfP5+vf/3rzJ8/nyeffHKMRy6EmAr83Z0AhHUTVptjwPPiZhcAmgRDQhSECRMMhcNhXn/9dc4555yM4+eccw6vvPJKVteIx+N0d3dTVlY2GkMUQkxxwR4PAD5t4EAIAIu6X4IhIQqDabwHkK22tjZisRjV1dUZx6urq2lubs7qGt/5znfw+Xx89KMfHfCcUChEKBRKfe31Sh0QIUR2ksGQX7Mz8CQZaIlgyBiVYEiIQjBhMkNJmqZlfK3rep9j/XnkkUe49dZbefTRR6mqqhrwvDvvvBO32536U19fP+IxCyGmhrBPrRkKGpyDnqdZ1P0SDAlRGCZMMFRRUYHRaOyTBWppaemTLTreo48+ytVXX81jjz3GWWedNei5N998M11dXak/jY2NIx67EGJqiPg9AISMgwdDRqtaM2SKBUZ7SEKILEyYYMhisbB69WqeeeaZjOPPPPMMp5xyyoCPe+SRR7jqqqv49a9/zfve974hn8dqtVJcXJzxRwghshELqGn18FDBkE0FQ+ZYcNTHJIQY2oRZMwRw4403csUVV7BmzRrWr1/Pz372MxoaGrj22msBldU5cuQIv/jFLwAVCF155ZV8//vfZ926damskt1ux+0euDqsEEIMRzzRayya2C02EJNNBUuWuGSGhCgEEyoYuuSSS2hvb+f222+nqamJJUuW8NRTTzFz5kwAmpqaMmoO3XvvvUSjUT796U/z6U9/OnX84x//OA899NBYD18IMcnpwW4AYkMEQ+ZEZsiiS2ZIiEIwoYIhgOuuu47rrruu3/uOD3Cef/750R+QEEIkaGEVDMUtgwdDFoeafrdJMCREQZgwa4aEEKLQGRLBENaiQc+zJoIhhy7TZEIUAgmGhBAiT0wR1WvMYBt8TaKrpAIAhxYiHJLskBDjTYIhIYTIE1NUdaE32AbfhVrkLiOuq/po3s7WUR+XEGJwEgwJIUZs46/vYPs3ziIY8I33UMaVJREMmRyDZ4YMRiM9iZYdvq72UR+XEGJwEgwJIUZsxp5fsDz4Gvu2vjDeQxlXtrgKhsyOoeuT9WhqkXXA2zaqYxovG+79NK/+6N/Q4/HxHooQQ5JgSAgxYrbEQuCIv2ucRzK+bHHVXsPqLBnyXJ9BLbIOdXeM5pDGRcDXzfqmX7K27XGOHd433sMRYkgSDAkhRsye2CIeDUztxsYOVDBkcw1d1DVoUsFQpGfyTZN1th5N3W5r3DmOIxEiOxIMCSFGJBaNYtfC6vYUDob0eBxXIkNmLxqsZ70SMauptKivc1THNR56OppSt/3Ne8dxJEJkR4IhIcSIBPzdqdt6qHuQMyc3v8+LQdMBcGYTDFlU9kgPeEZzWOMi4Ek31I617x/HkQiRHQmGhBAjEuwVDBHqGb+BjDN/tweAqG7AZh+8UStA3FoCgBb0jN6gxkmoqyV12+JtGORMIQqDBENCiBEJ9vSaGgtLMOTT7GiGoV9aNXsJAMbQ5Ft0Hu9O104qDhwex5EIkR0JhoQQIxIKpAOgVDuKKSjk8wDgx5HV+QaHmkozRyZfMIQvHQxVx5oGOVGIwiDBkBBiRCL+dGYoWYF5Kgr1qKAmaBh6igzA5FTBkDVSuIvOt3z7Qnb8v/XEotGcHmcMpssFFOOjq/1YvocmRF5JMCSEGJFwIJ0NMkX94ziSsfPqj/6Nbd88L6OvWDSxEDpozC4zZHGVAWCPFWY2raPlCKt6XmRx5B2aG/YMef7OV//Ghns/TTDgwxrKrJ3U0rBrtIYpRF5IMCSEGJFYr0XT5tjUyAytbXucFf4NbHvqZ6ljYa+aGgqZhq4+DWArLgfAES/MdVZHdm5O3Q5kUxjymf9hfdMvefu5R7BHMssFeI/uzvfwhMgrCYaEECMS7bVmyBab/JmheCyWum3d/WTqtt6m6ukEi2ZmdR2HuxKAIr0wgyFfw5bU7VCPZ9Bz9Xic6ZGDAISP7aIops4/ZKgHINIq2+tFYZNgSAgxIvFwOhtk1Sd/MBSLpdfPLA9sIhRMVJ32HgBAq5iX1XVcJRUA2LVwQTa4NbW8nbodHqIwZHvLYYo0VXDS7NlPia7WTx0rXgqAwXNglEYpRH5IMCSEGBG91zSZPVGBeTKLRSMZX+/45x8BKA+qejrO2kVZXcdVVEJM1wDo6Sy8Zq3lPel1QtEhes4d2/9W6nZFz25smvoZ6dPXAOD0y/Z6UdgkGBJCjIgeTmeDnFMgMxQ9LhiKvPF/RMIhauJqx1TlrBOzuo7BaKRbUzvPfF2FFQyFgn7qYo2pr2NDVMnuOfJO6vasuAoK/boV96zlAFSFGzOmF4UoNBIMCSFGROtVaNGixVLTRpPV8dvMF3le4si+NzFrMfy6lcpps7K+Vo/mAiDgzV+z1rde/iOvf/sDeNqahz55AId3b8OspYMXPdh3+/+bL/6B4C0VbP7jPehtfXebdWnF1C9agxcHlXSy9ekHhz0eIUabBENCiBHRoplTY/7uSVhEsJdYNJy67cFFkRag6eWHAWgyTcdgNGZ9rYBRda4P9mSxWysL8ViMsr9/gdU9z7Pzb/cN+zod+7dkfK0F+/6b+rc/jk2LUPTGA9i79vW5v9tUirOohLdnXglA1ebvEI2E+5wnRCGQYEgIMSLGSObi30DP5A6G4onMUEzX2O9cBcCCI78HwGOfkdO1Aolt+JHu/GSG3nrx99TqarpOax+6NtBAYk1vAhBPrGnqr7K4s+cgAPMju6kPqjpCQd2cuj9gLgFg6b98iU6KqdePsvXJnw57TEKMJgmGhBAjYoxlZoYCQ2zDnuiiMbVmKIaRyIzTAChHBYDhkjk5XStiVsFQzD/4bq1sxV77eeq2q3v4O7hcnp0A7Dep78cU6RsMVYSOAGDQdMpQ02i7HKtS94etqo6Sq7iUXfP+HYDid3417DEJMZokGBJCjMjxVafDQ+w8muiSmaEoRqatPDfjPnPVgpyuFbW4AdCHWKCcjWOH97HMtyH1dXV4+N3ia0IHAWgvWwmA+bhgKOjvoYbWjGNeHPhr1qS+jtnKUrdLF50BQHE0P9OBQuSbBENCiBExx4MZX4f9hdtrKx/iiTpDMQzUz1tGC+k3/eK6xbldy6qCIS3oGfG49j/zM4yazh6jqnNUgQevJ/fpt67ONipQ4zHWnwSANZZZGLLp4I4+j2sy1WOtmp8+4KpM3XS4E1miAi0wKYQEQ0KIEbEcV3U6GpjcwVCy6GJMM6IZDBxyp7Mh1bOX5HQtzV4CgDE88myaq/lVADoWXkorqgls8/43c75O8743AGihDHuFWgNli2euC/M0qq30e41z6dHtAHids3BPX5g6x9grGHK6VYHJIi2Qc9NXIcaCBENCiBGx6Coz5EFtE49N8mAo3mvNEIA+610AtOPGXVqR07UMDpVVModH9jOLRaPMDqp1PhWLT6fFotpgdDW+M9jD+uU9rB7TYp2BzVUCgOO4YCh4TLUe8Thns7tIZY9ilSdQM/uE1DkWd3XqdlFJ+ufS7SmsmkpCgARDQogRsiWDIYN6Y48HC7MLe77Eo5nB0KJ3X85b1hXsmXtVztcyu1QGxxYdWTDUsHsrLi2AX7cya/EaeorUwudoS+7d4qMtqqmqzzULe5H6N3XpmcGQsUMFQ5GSudRf/kM2zrme5R/8T5xFJTSjMkLF1bNS55st1lQGqduTudZIiEJgGu8BCCEmNrseBA26zeUQashozzEZJdcMxRPBUHFJOUtufmFY1zI7E8FQbGQ/s9YdLzMbOGBdxIkmE3r5PGgHqyf3Bqm2RM0gvWIBzsRaH5sWIRwKYrHaAHD51OJsc9U8KmtnUXnl11KP7zz/xxxqeJOTF63OuG6P5sJFIK8FJoXIF8kMCSGGTY/HsRMCIGRVUyFaaHJPk8WS02TayF8+LQ61td4WH2FPt8OvAeCtWAGAY5payF0WOJjzpUoDhxLXWISruDR1vKcrHcRURVSvMff0vn3YFq89l7Uf+QKaIfPn4zOqadSgBEOiAEkwJIQYtmDAh0HTAYg6qgDQIoXXgT2f9OMyQyNhTQZDjCwYqupSC6Xts9cBUDFLLeSujR3NacFyNBKmNnYUgMrZSzCaTPh0lQ3ye1UtpO6ujtRus+rZ2fVhAwgmqm2HfbK9XhQeCYaEEMPm711t2qWCoeMrUk82qQrU2siDIZtLba136MMPhryedmYkmqrWLT0dgOr6eYR0MxYtStPBnVlfq/nQbixajIBuobpObdH3aQ4AAj0qGGo+8DagFowXl5Rnfe1wssCkLz8FJoXIJwmGhBDDFvKrtS5+3YrBrt7YTdFJHgzlMTNkT+zWGkmD20NvvIxB0zmqVVNRo3aRGU0mGkwzATjy9HezvlbbobcAONqrx5rf4AQg1K0yOt4jalF2i3l6TuOMJApMxv2SGRKFR4IhIcSwhRLVpoOaFaNNTYNYYpM7GNITa4biecgMOZxFqdvDbXDr26/qCzW5MqesAqfdDMDatv9j+3O/yepawSaVRfLYZ6aPJaa3In6P+tujptH8tmpyEbeWAKDlodq2EPkmwZAQYthCAZUZCmp2TA71yf/4IoyTTTyeyAzlIRgymS0EdAsAAd/wFp6b29S0VaQys+Djsnd/mI1VlwBQ/+IX8XV78LQ1c/D2Jbz6o3/r91qGRHPXcOm81LGQUWWGIonAV/eprfERW241lbCVqOcIDRz0vfbEj9nwwBfR4/Hcri3ECEkwJIQYUCwa5dUfXslrT/y43/sjiWmykGbrtTNqcgdD+VxADeDXVP2dkM8zrMdX+lUA45ixos99K//9bpqopAwvuzf8id0vPMKseCNLWp/qN+Ao96qCi5aadFuRqFllhuIBFcQY/Ymiic6qnMapOUoAMEf6D/refPH3nLTty6xv+Bm7Xn8up2sLMVISDAkhBrR324usbf8D87d9vd83z2iiwGLYYMeSyAzZRrAYeCLI5zQZQFBTu7VCw8gMBXzdTE/s/qpddFKf+602Bw2VqklqeOdfMe3/OwBOLUhnW1PGuW1HDzE3tp+4rjFrzXmp41GLCob0RDBkDamt8YaiSnJhTNRUsvQTDHW2NlHz3OdTX3t2vZTTtYUYKQmGhBADCnarN74SemhtOtTn/lhQZYYiRhs2pwqGnPrkzgwlp8n0fAVDBrVbKxLIvXJ3467XMWo67bipqJnR7zm2E1RgM7vjZeb3bE4dbzu8J+O8/a/+AYC95vmUV9eljscTwVCyfpQjohZAW9w1OY3V4lTVrO39VNve86sbqaSTuK4BYD36Wk7XFmKkJBgSQgwouWgWoHn3633uj4XUYumI0YGjqAQAuxYmGgmPxfDGRywG5C8zFE4FQ7lnhjz7twBw1Dp3wHMWrj2foG6mig6KtHTWztuUGQyZ9j0LQPu0d2Uc16wqyDWEVbBWFPUAYC/JbQG1rVitMXLE+1bbrkxMz71a+68AzPC/JeuGxJiSYEgIMaCYP73Y1d+4vc/9eli9scVMDhxF7tRxX8/krUKt53EBNUDYqIKh6DAyQ3qzKrboK1084Dk2h4vd9hV9jkdbD6RvR8LMS2SNSpdfkHGeliyZEOlGj8cp1T0AFFXktrXeUaxqEhXpfYMhW6IRrHvZ+wnrJsrp4sj+3JvMCjFcEgwJIQakB9NBjamt75uTHlZTYjGTA6vNgV+3AuBtb+pz7mSRXECtG/LT2jFmUsHQcBrcFnepmj+m2qWDnuef+e7U7UMGNQVm6DqYOrZnyz8oxkcnRcxfcUbGY42JYMgS7aan24NVU2umSitrcxqrK9G53qkFiYRDGfc5Uf+PnGXT2G+eD0DTW8Pr9ybEcEgwJIQYUO9gqKxnb98TEpkh3aze0FuNaoeR52g/504Sep7XDEVNaut6MsuWrXgsRn1YNWItn7tq0HPrTvqAei7dQNO8SwFw+g6n7ve8+TQA+4pOxmjKDPJMzhIArNEePK1HAPDpNuy9aiRlo6gkvRW/29OWuq3H46l1Zs6iUjwV6nuJN2zM6fpCjIQEQ0KIARl6NV2tizUSDgUz748kFkub1Ru6xzoNgEDLASatPAdDcYtqYEoot2Co6dBuXFqAsG6ibv6KQc+tm7eE11beyRvrv0fJPNW/rCx8NHW/uUstjo/WLO/zWEsiGLLHffgSGT+Pwd3nvKEYTSa6dVVGoMfTmjoe8HdjTPS3cxSXYJm9HoAqT99pWSFGiwRDQogBGSLpqRuLFuPI3u3H3a+CId2igqGgU03BxDoOjs0Ax0GqzpCWn2kyPRFIGnLMDLUeUP8WjaZ6zBbrkOef9IHrWHXeVVTMWAhAld6WCm6tYbVDzOjqu13e5lJb4h26j4BHBUPdxrKcxprUo6nAz9+rc70v0QA2qhuwO4qYsVxN082MNRDw5T51KMRwSDAkhBiQKZL5Bt2+fxugFtzu2fYSjoB6czRYE1M9JWp7t7n7MJNWMjNkyE9mCKuabjJEcytJEOk6BkCPObdK0OVVdQR0C0ZNp6VRTWc6EjvErMV9Cyk6E9NbRbqPUIf6dw1YSnN6ziSfURXmTPY5A/B3q+f2aXY0g4HyqjpCuhmDptPZerS/ywiRdxMuGPrJT37C7NmzsdlsrF69mpdeGrg4V1NTE5dffjkLFy7EYDBwww03jN1AhZgELFH1ybyTROG9vX/ntT/8hKavL2f+E+/nxLDKThis6hO/pXwWAEWBI2M/2DGix9XWej1PmaHkz84Yya2nW8ynsisRS0lOj9MMBo4ZVY2gziO7ASiKqV2D9tK+2+WramfjxYFZi2E5vAGAcK6tOBKCpkSfs550MJSsvO3HkRpfp1YCQHfb5P1/JArLhAqGHn30UW644Qa+8pWvsHXrVk4//XTOP/98Ghoa+j0/FApRWVnJV77yFZYv7zsXLoQYnC3RdPWgQ+1WOqnrr5y09Wbq9aN063YOazXsNJ/A7JMvBKBomuppVR5tHp8Bj4W42k1FnjJDhkSDW1OODW51f2J6yZZ7lsZjU9vi/cf2ocfjlOgqGCoq61tIUTMYaLSof9dk0ca4Y3jBUNikMkOxxNgBQj3qdtDgTB3rNpUAEPAcSx3T43EO7dpGLBod1nMLMZgJFQx997vf5eqrr+aaa65h8eLF3H333dTX1/PTn/603/NnzZrF97//fa688krc7twX/Akx1dkT9V9Y8a+8Y1lKg2E6Bwwz2TDjP9D+cwd1t+xi0Vc2UFGrupxX1qlt0RV4CPpzWwMzYaQyQ/kJhoyJYMiS4zSZMaiyK7o99/U7QVe9emzHAXq6PVg09T2VVEzr9/zu0hMBUkUbDa7c+pIlRS0qGIr3CoaSDWCDiXpLAH6z+p7CXemgetszDzPzkTPY9PN02w4h8iU/ed4xEA6Hef311/nSl76Ucfycc87hlVdeydvzhEIhQqF0DQyvd/IWjxNiKA5dBUOl9YuYdc7LqeOzBzjfXVZFj27HpQU41riXmQtXpO7btfk5Orb+gbkX3EDV9IGuMAEk1gyRp2DIbFcBgjWeW083c0gFFAZnee5PWjoLWsDS3YC3vYkiwK9bcThc/Z5uqlsJxx5Jf93P2qJsxBPVrLWgJ3Usmqi8HTalnztkLYcAxLvTu85C+/4JgL0rs3K2EPkwYTJDbW1txGIxqqsz57Srq6tpbs5fSv7OO+/E7Xan/tTX1+ft2kJMJKr+i3qDthdlNxWjGQy0GtXvqOeoetMK+nvY8q0LWfinD7L+yEM0/OY/R2fAYyWe36KLFofKDFlz7OlmjaiMismVezBkq5wDQFGwie4O9fo52Hb5ygVrMx9f0n8GaSi6Xf0/MobSlc3jiQaw0V7BUCw5DedrSR1zePcBYInIDjORfxMmGErSNC3ja13X+xwbiZtvvpmurq7Un8bGxrxdW4jxdOzwPppvnceGB76Y1fnBgA9zYvrEWZz9VIzHpioTBxPtHrY98T1W+V5M3T+v+9UJve5DS0yTkadgyOpUmSG7nltmyJFY9Gwtyn39TlG1ysxVxFoIelTA4TMOHAzVzV2Sqi4O4OpnbVE2jC41VmswHeToicrbUXM6GNKcaou/OZjegl8VVLWQbLFJOv0qxtWECYYqKiowGo19skAtLS19skUjYbVaKS4uzvgjxGRw+I3nqaGVuQ2/y+p8X5dakxLTNZyu7NfchZxqcW68U715OQ89B8CG2Z/Bi5MSetiz7QU2PPBFmm+dR3PDBJv2yPPWeptT/WwdenCIMzO54iqIyLVhKkBFnVoQXYqXUNtBAPyJRcv9MZpMHEosogYoqcytL1lS6ZzVAMwI7ko1YtUShT11S7qitalYfU+2kAqG/D1d1KCmzBzx3BaaC5GNCRMMWSwWVq9ezTPPPJNx/JlnnuGUU04Zp1EJMXEkm65W0UHb0UNDnu/rVmtSfJoDzZDDS0WpWkxt7W7E39PFwuAbANSu+wh7XWsA8L58P2sO/ZwaWmnY9GQu38a40/T8ZobsrhIArFqkT8+ugejxOG5dBUOu0r6FEodS7C6jJ1ENWmtW/z5h6+DZv66SEwCI6MaM1hq5mHnCyYR1EyX0pBqxGsLq+9Ct6WDI6laZJ2dU/R88uu/N1H3Ofhq9CjFSEyYYArjxxhu5//77eeCBB9ixYwef//znaWho4NprrwXUFNeVV16Z8Zht27axbds2enp6aG1tZdu2bbzzjnRDFlNPPJhep3F4x4Yhzw8mCuP5cAxxZiZrhZqCcQWb2P3qX7BoUY5qVcyYv4zo3LMAONnzVGoKLtYxwVp3JBdQ5ykYcrjS2edkAcKhdHs7Uz8/d1numSG1tkstgq70qtfDmG3wYMg4fQUAnZobg3F4WTGL1cYB81wAmneoBdHGRGFPzZb+ObjKVTDkjnsA8DS8nbrPSZB4LDas5xdiIBMqGLrkkku4++67uf3221mxYgUvvvgiTz31FDNnqk+iTU1NfWoOrVy5kpUrV/L666/z61//mpUrV3LBBReMx/CFGFe9m64GDm4e8vxwohheoFf9l2wUJ2oN1UQPE9v2KACNZaegGQzMWfuBPudbvP3XCStU6cxQnnaTWayEdDMAAV92u1e7O9Sam4BuwTbADrCheK0qiKqPqZ+/7hw8wzTr5Pfjxckh95phPV+Sp1TVrIo2qv+D5qia9jLa01OxReVq3Zlb7yYaCRM5tjN1n0HT6famt+YLkQ8TZmt90nXXXcd1113X730PPfRQn2O6ro/yiISYGLRQeheOo23oJphhX7L+S25vtnXzl9FEJdNoZXW3Wi9kXXweABW1M9lnnMPc2H5CuhmrFqE4OMGqDKcWUJvzdkm/ZsdKhKCva+iTAV9i0bNXK8I+zOcMOmohACZNrd0xuQaf+qqsnUX45v2sMVuG+YyKsf4kaP0dpR1qes4SVZmh3sFQacU04rqGQdPpaG/G2rk34xq+rnbcpcObqhOiPxMqMySEGD5jOB0M1QXSC1iPd2jH6+x87VliAQ+QWf8lG1abg/Clj9GJmvYI6ybmrz0/dX/7kn+ng2K2LroRgMpoU07XH2+arqbJtHz1JgMCmgppsg2GAl0qGOoZZAfYUOLFdRlfm7OoHWSx2nJbP9aP6hNOBWBWZB/hUBBbYkG0xZGeJjOaTHg0tYbI29ZEWeBgxjUC3ZIZEvk1ov/Ve/fu5a9//SuBgNoSKlkYIQqXqVd9lnK6OHZkf59z4rEYzkc/xJw/fZR4i5qa6L3lOVszF62i/YO/4ahWxdbKD+AsKkndd/IHP0vZrY0sfb/K8JbQQ1dnW87PMV7yvbUeIJQIhiL+7KbJIt3q5xUwDX+3q7l8ZsbXtpLhFVLMVd2cE+nCiVWLcGjHa9jiqr6S1ZVZy6rLoL7ubm2gNqayh8nt/cFejV6FyIdhBUPt7e2cddZZLFiwgAsuuICmJvXJ7pprruE//3OCF1QTYpJKTkckHX2n7yLqxr1vUoFqz1DZtgmA2DCCIYB5y0+l9pY9rP3MA/3e7ywqoR2V2Wht2DWs5xgPhmRmyJjHYCjRiiISyG6nVLRHbTkPmUuG/ZyuylkZX/fXl2w0aAYDh2yLAejYvQFnosq57bjyDT6zCob8+1/FosUI6BYOm1UAF+6RYEjk17CCoc9//vOYTCYaGhpwONI7TS655BKefvrpvA1OCJE/lkQj0BbUrqHQoU19zmndlQ6QZkXVLq+4dfRqbbWZVCVjb9PEqTWU7631AOFEMBQLZNn+x6+Cgai1ZNjPWVI7J+PrsQqGAHzlahG11rQdJ6q+0vFVzoMWVVm7oul5AI6Y6gmaVMAU9XvGZqBiyhhWMPS3v/2Nu+66i7q6zDnn+fPnc+jQ0PVLhBBjL9l09WCZWrMx9+if+jRTjTa+nrpt1BLT3qMYDHU71GtIuLXvlF2hSgZDWh6DoahJBUPxUHatJrSgWjOj24fRlyyhctosorp6CwjrRoqKs2u5kg/m6kUAlHl3YEj8P3MeFwxFE9/b/KgKlFtr3kUkkaWMBbJbWyVEtoYVDPl8voyMUFJbWxtWq7WfRwghxluq6erp/0EzlVTRwbbffyfjnBLP230eZ7APf5HuUCLFMwDQPBPnQ5SWqjOUvwXUMZMqXxAPZVdd2ZToWI8j9471SUaTiVZNBRwezT3ihdG5cNerAo4zowcBVcjRZs8s4XD8Vv/a069Mdb3XJRgSeTas//3vete7+MUvfpH6WtM04vE43/rWt3j3u9+dt8EJIfLHlWgE6iqrpmHpZwBYuOd+ehI1W6KRMDPDe/s8zjiKwZCxXBVotPsmTg9AQyIzZMjjmqG4OREIZJkZskY8wPCatPbWaVFTY90j2JU2HNPmqmmyZOFIn2bvE4wZXekF3XuNc5m5aBVxS6LrfUiCIZFfwwqGvvWtb3Hvvfdy/vnnEw6Huemmm1iyZAkvvvgid911V77HKIQYoWDAh0VTGQ1HcTmrLrqORq2WUry89eQPAWjcvRW7FqZHt6daNQCYnaP3RumsVgUay0JHR+058i0ZDJHPYMiipn+0cHYLqO1RtbbIPIwmrb35bSoYGqwv2WhwFZem1q4B+LW+Mw2WkvQaprbZF6kbNrXd3hDKcm2VEFkaVjB0wgkn8MYbb3DyySdz9tln4/P5+NCHPsTWrVuZO3duvscohBghX6+Kva6iEkxmC0fm/ysAjsYXAGjd/SoAh6zzOWyelTrf4hy9tSTl9QsAqI639NvJ/sj+Hez4f6ew9W+/HLUx5Cq5ZsiQxzVDWFRmyBDJbprMGVPBgN09su3wkSK1ZitkGf5023C1WGekbvdX5dxRqoKhuK4x590fB8BgLwEyy0QIkQ/D/m2uqanhtttuy+dYhBCjxN/dSTnQo9txmdSvfeXSs2D3t5gbeItIOIR+WC2e7i5biiHshY4dANgSjURHQ+W0WYR1ExYtysE925i1OLPVw+GnvsnayNu8seUBOOdjozaOXCQzQ5oxfxWoDYkmpdm+ybt1L2jgHGFtoKp1l7L3iRcxr7psRNcZDp9rFoS2ARDqJxias/QUtj57CsHShayfrqZTjY4SACxRCYZEfg0rM/Tggw/y29/+ts/x3/72t/zv//7viAclhMivYKJir19LT3/NPuEkunDi1ILsf+OfVHZuA8BUv5J45Qmp8+xFo5c1MJpM7LWqmjPGx66grTm9digWjTK3TbXzKA63jtoYcmUgGQzlLzNkr54PQJV/6BIDQX8Pdi0MQFHZyIKhuUvXMe+rW1j+7o+M6DrDoVcsSN2OmPoGQyazhZU3/YX1n7g7dcycCIZsEgyJPBtWMPSNb3yDioq+c9VVVVV8/etfH/GghBD5FepJBEO9PoEbjEb2O1YA4Hv+bubEDxLWTcw9+f24ZixNnecoHt0plLIrHqKZSur1o3Ted3GqI/nOV/9KBR51Trx9VMeQC8MoTJPNXHEmcV2jTm/OCAj709VxDFA7sMZyO3y+OaYtSt2OmIuyekyySnWyhYcQ+TKsYOjQoUPMnj27z/GZM2f26RovhBh/4USbh6Ahs5p0qG49AKt61LqhN9xnUlo5jbqFJxHWTXTrdly9WmmMhpr6eUQ/9gR+3cr82F4adm8FoGfLY6lzivHh7ymMHUSjMU3mLq3gkFGtoWnY/vyA58VjMQ7931cBaDWUj+l2+HyrnL0kdTvbKufJLGWyarUQ+TKs36SqqireeOONPse3b99OefnItnoKIfIvWbH3+KarlUvem/G189T/AKCkooY95z7MkQt/hcGYv3o6A6mbt4SDVjVt0rprI9FImHnt/8g4p73p4KiPIxvJabJ8bq0HaCldAUD4QLoK+J6tL7LxF19NZcs23fdZTu78MzFdo3nd/+T1+cdadd08AroFSO+mG4rDrd5finTfgI2GhRiOYQVDl156Kddffz3/+Mc/iMVixGIxnnvuOT73uc9x6aWX5nuMQogRiieK1B2/NmPWCSfjRR07aJjBopPOTt134ikXsGhNZrA0mrylKlMQP7yFXZueoZwuPLg4olUD0NWSn6zzhvs/z6HbT6SztWlYjzcmp8lM+Q2GDPVrAShp2wKAHo/j/OM1rNv/A9568fd0d3VwUtOvAdiy8g5WnXtFXp9/rBmMRo6apqsvrNlNkzkT04ImLU7AL+uGRP4MKxi64447WLt2Le9973ux2+3Y7XbOOecc3vOe98iaISEKkB5U02QxS+abjtFkYk+RehM+tvjj4zrtYqpfBUCJ5y263/wzAHvcp+Axqy3WwfbDI34OPR5n0eHfMjN+mEODTEcNZjQWUAPULjsTgDmRPQQDPvZse4laXa0PCrQeoKPpIEZNx4uTky7+TF6fe7x0FKl1Q6aSuiHOVOyOIiK6ylT2dEmzVpE/w/pttlgsPProo3zta19j+/bt2O12li5dysyZM/M9PiFEHmiJInVxS98+Y3M//lO2v/EiJ5/54bEeVobqRethM8yK7MfWotaEaPPPJrD7bxCGiGfkhRlbmw5RhcooRLwtw7qGUVfTM8Y8rhkCqJ21mHbclGtd7Hzjn3i2PpG6T/c20d2qFlZ3GMoYvW5xY2v2pd9i86YzWXbOlVmdrxkM9GhOSvHi97bD9L5rV4UYjhF9tFmwYAELFiwY+kQhxLgyhFUAoPczHVFSUUPJez461kPqo27OiXhxUKz5mRk/TEzXmLfuInYceRO8YOgeeTDUtOs1kpvRoz1tw7rGaK0Z0gwGGpxLKfe9jGfL48w69mz6OX3HCHaq77/HPHnWZVbU1FNx0bU5PcanOSjVvQS9khkS+ZP1b/ONN97I1772NZxOJzfeeOOg5373u98d8cCEEPmTLOan2Qo3p6AZDDRYF7AkUYhvr3khCytqMLhroQnM/mMjfg5/47b08/mHt13fmAyGTPnNDAHEFl4IW15m3bFHMo5bgy0EEpmxgG1ktYUmuoDBBTEI+TzjPRQxiWQdDG3dupVIJALAli1b0DSt3/MGOi6EGD+mqOp5NZpNV/Ohu2wZNG0DoGP6mQCYS9V6EmdoeNNavVna3kndNgZGGAzlsWt90ur3/wcbmt5mfZNqhN2Om3K6cIbbCfSoYDDqqBnsEpNeyKSCoYivc+iThchS1sHQP/6R3ub6/PPPj8ZYhBCjxBpVa3BMiQq+hco6YxUkAoGKFe8DwFVZD0BJdHjTWr1V+NIVni3h4U2zGPUYaKOTGdIMBtZ94vtsvDfCsubH2XvCdZTvuJOSWDtdicyYVlSd9+edSMKmYghBLFEuQoh8yHnrSDQaxWQy8dZbb43GeIQQoyBZsXc0O9Dnw4zl78GvWzms1TB32akAlFSrjRnleme/zVyzFfT3UBc7kvraHvEM6zpGRmcBdZJmMLDuU/dg+58m5p6hmumW6V24gs0AmEumj8rzThTRRIHGeM/IM4VCJOUcDJlMJmbOnEksUQRMCFH47IlgyOosGd+BDKGidibtH3sG6yf+mir2WFY1nZiuYdLidLYcGeIKA2vY+TpGTU997Yp5hnUdE6NTZ+h4BqORsspaoroBg6ZTHzkAgKO8dlSft9DFy1Uft9UND7L5j/eM82jEZDGsoiL//d//zc0330xHh6zmF2IicCXaF9hdhd/Lqn7+ciprZ6W+NpkttGtq3J3HDg37up79rwOkijiWxIfX3iO5Zsg0Spmh3gxGY+p7d2ghAIorZ4z68xayFR/+L7a4zsCixViz5b/YuemZ8R6SmASGFQz94Ac/4KWXXqK2tpaFCxeyatWqjD9CiMIRi0ZTb6SOCdrY02NSjaF7WodfhVpvfhOAw6WqyKRDCxH09+R2jXg8lV0a7cxQUpcpcyt9eU39mDxvobLZnaz4/O95w7YaAM+ul8Z5RGIyGNZv88UXX4ymaei6PvTJQohx1ePtJLlSyDlBgyGfpRKiuwl3Zj9N1nLkAE0PfwLj6Z9jyakXUtGpGsAa55xOuP3PWLQYnrYmambMz/qasVg09aJpNFly+RaGzWepgOhuALw4KXZk18drMjMYjfhLFkHz6yBrh0Qe5BQM+f1+vvjFL/LEE08QiUR473vfyw9/+EMqKipGa3xCiBHyeTtwAyHdjNXmGO/hDEvYUQ1+0Nv3Zv2Yfc/ex/rga+x97hZaZy9lbuwAcV1j7toL6dr8dSrppLujOadgKBqN9AqGxiYzFLZXgV/dnkzVp0fMpeotmQKt4zwQMRnkNE12yy238NBDD/G+972Pyy67jGeffZZPfepTozU2IcZFW3MDGx/+n2E38iw0wR4PAD3axAyEACzzzwRgybEn8bQ1Z/UYQ5dqXzEvto+9f/4eAHvN8ymtnEa3QeXKAp25FXKMRSOp26ZR2Frfn7grXVeo2ywfPJNMxernYg9KMCRGLqdg6PHHH+fnP/85P/vZz/j+97/Pn//8Z5544gnZWSYmlb1PfIN1+77Prj98a7yHkhfJSr2BCRwMLT/rY+wzzsalBdj5u9uzeozdnw5mVx9+GID2aWcA4DeXABDKsT9ZtNfWfuMYBUPG4mmp20Fb5Zg850RgK1O76lxR2cgjRi6nYKixsZHTTz899fXJJ5+MyWTi6NGR9wwSolCYEsXtLJ17hjhzYgj7VZPWoGHiBkMGo5HuU74EwPKm39J2dOhdZe5wOoNk0dQHtrLlFwAQspQBEOvJLasQ75UZMua5N9lArGXpukJTvfp0b0Xl6udSEpdgKF/amhvQ4/HxHsa4yCkYisViWCyZiwZNJlPGpyUhJjpLWG25LgkMf+dSIYkGVDAUNk7cYAhg+bs/yk7TYuxamL1/+Pqg5+rxOJWxzKxPJ0XMW/EuAKI2FQzpvtxacsRiKhiK6VqqDtJoc5Wng6GpXn26t5Iq1abFjY9gwDfOo5n4Xv/z/VTcs5RXfzP479ZkldNHG13Xueqqq7BaraljwWCQa6+9FqfTmTr2+OOP52+EQowxW1QFQzWxJvR4HM0wrAoUBSOWCoacQ5xZ2DSDgfCpX4AXrmZZ8+/xtN1GSUVmpqS5cS92Vwl6LEpJopzA25alnBh+k33Fa1mTWPQcd6i1N7n2J0uuGYphZGxCISipTtcVmurVp3srLq0krJuwaFE6Ww4zbebC8R7ShBY+sh0AU/O28R3IOMnpVf7jH/84VVVVuN3u1J+Pfexj1NbWZhwTYiJzxFSHd4cWoq154meH4kH1/URNEzsYAlh6xofYa5yLQwux47g1XY1736T4/lM49uPzaTuyD4A2SjCf9/94y7qC8nNvSp1rcKpgyBzKbYol2Q4kNrwSbcNSWjGNiK5CL2e5BENJmsFAR6Igpbd1+JXJhWIIq5pb5rBnTJ7vwDuvceD2Zbz+1M/H5PmGklNm6MEHHxytcQhRMFx6d+p266EdGdWQJyI9pF7kYuaJHwxpBgNdqz8Lm27ghMZH6PH+N65E7aQjz/yIei3EguhuNu3dBECHqYoFq86AVS9kXMdcrBYi59qfLN4rMzRWDEYjO60nUBfex7T5K8fseScCr6mUmmgr/g5ZtzpShoiq32CLesfk+Zo3/pb18UP4tv8CLrh6TJ5zMBM7/y9EnsWiUYr19PqDnqO7xnE0uetsbWLnq3/LOKaF1IubPgmCIYAV51zBYW0abnzs+McjgGrCuvjYk6lzrHufAqDH2v+CY5tbrb1xRj05PXcslsgMaWP70jn/C39H+/zbuMtkN1lvPovK8IU9k6MMxngyRlUw5IyNTTBk6lKbIGpD+8fk+YYiwZAQvfR0tWPo1cwz1r5vHEeTu4YHPs6iv3yE3VueTx3TIiq4062To1yf0WSicdo5AGh7nwXgzb/9L27SQexiv+pDFnb1P63kLFXBkFvPrT9ZPDb2mSEAs8VKkbtsTJ9zIgjbVXAY786tXpToyxRTwVDvzPhocvoPA1CGl7bmxjF5zsFIMCREL92dmVutrV0Hx2cgw1QWVC8qXQ1vp44ZE8GQZp08bRzcy9QW+Xndr6ps3lu/AKAJ9eaY3EqPu67fxxeXq9o9xfiIhENZP+94TJOJgcUdqgq1wSfB0EhZEsFQse5LrY0bTRWR9NRm0+7No/58Q5FgSIhe/N62jK/dwfH/xJKLIl2luGO9PimboioYMtiKxmVMo2HB6vfgxUEJPWz61S0sjO4krBtpWvuVjPMs5TP7fby7rIqYrgHQlWVFa4B4cppMgqGCYEiUGrAE24Y4UwwlGQwZNJ2ertx2WeYqGPBRRXrzgq9h+6g+XzYkGBKil0CXygz5dBsA06JHJ0wRsngsll7v5Eu/OVhi6pjRPjmmyQBMZgt7XWsAWLv/xwBsrfwAC0/7YCrIASiumd3v4w1GI22amnZqO5J9cc1kMBTXJBgqBJYSleFzhiUYGimrHkjd9naObvPbYw2Zv3PG1h2j+nzZkGBIiF4i3eoT0SHLPGK6NqG213d72lLrnYy9mlcmP/GZJlEwBBCbcxagPskGdAtzP3QrzqISGo31qXPKa+cO+PhWqzrPezjzhTg+SHshXTJDBcWRaMlR3E9LjrGY6plM7L2CIb9ndPu9eY7szvi6tGf8q/1LMCREL1GfelENWstpNqj1CK2Hxv9TSzZ6r3ey9qqfY4urYMjimFzB0Kx1H0jd3j7tI1TUqimx1qITAPDrVkrKB67Y7CuaA0CsJf3CvGfri3i/NoMND3yx38fEJDNUUIor1QL5Mr0zI4N7aNc2Ou+Yy+bvfGjAx4aC/lEf30Ri14Op20Hv6Gbagi1qY8p+wywA6qMNRCPhUX3OoUgwJEQveqATgIi1hPZE5qDn6M7xHFLWfJ50atsR6UzdtuvJYGhyFUStrJ3F5uKz2W+YxaIP/0/qeHzaCgBajZWDVg/Xy+cDYOtSL8x6PM78P1xICT2sb/hZ/49J7CaLS2aoIJRVq99RixbDm/gwEAr6iT72b1TgYZn3hT4L5N988Q/suWMN3DmDvdtfHvMxF6JYNIpdSwcjkZ7RXTOkdx4EoKViLX7dilWLcGTfW6P6nEORYEiIXgwBlVGJW0vwF6vMQbxlYtQaCnanX8CKY+lgyJFIf9tdJWM9pFG35sbfMed/tme05Zh5yodppoKjde8b9LHO6YsBKAuqeidvvfyH1H2tlPb7mNQCaskMFQSrzUEXqn5WZ4va7LD1wRuZG1O1ayxalMN7tqXOf/U3d7L0uSuZH92DVYvQuvVPYz7mQuTrySwxER3lYMjarZYeaOVzaDSrdX1t+7aM6nMORYIhIXoxhjwAaI5StMpFANi79o7jiLIX6U6ntkv1LvR4nGgknPrEZ3dNrszQQGpmzKfm1n2s//dvDnpe5awlAEyLNREJh7C+mG5Q6TWW9PsYPZ7IDEkwVDA8BrUQvqftCN1dHZzU/BtANeYFaNurak5FI2Fm71QZv0ZNrTWytr0z1sMtSEFfZqHFZIZ8tJQE1bZ6W9VcuopVhjZ8VDJDQhQMc6JjvcFZTlH9iQBUBQ+O44iyl1zvBGBOTBv4etIvco6iqREMZatq+hwCugWLFmPrkz9lQTS9dsikR/p9TDyxKFemyQqHz1QCQMjbSuexBoyajhcHuyvOBiB29A0A3vzHY1TRQQfFtJ92CwCVvvFfuFsIgr7MzFAyQz4a9Hic6piqGF46fT6GWaex1XEq5prFo/ac2ZhwwdBPfvITZs+ejc1mY/Xq1bz00kuDnv/CCy+wevVqbDYbc+bM4Z577hmjkYqJKNmXx+wso3beCgCm0Yq/J7dKxaOprbmx38WGuj/zBczT1kSgW33CC+smrDbHmIxvojAYjRw1qaKM09/6CQCHDOpr8wDBkB5XwZA+xu04xMBCZhXkR3va8Se2hHu1YrSapQA4PWrNn3HLAwDsqr2YuhNPBWB6vKmgfrfHS8ifWXXaGBq9n0lH61EcWoi4rlFVP581F13LypueYs2Fnxy158zGhPqNfvTRR7nhhhv4yle+wtatWzn99NM5//zzaWjof+vzgQMHuOCCCzj99NPZunUrX/7yl7n++uv5v//7vzEeuZgokn15rMUVlFTU0I56oT2y943xHFbK4b1vUfrTpRz6xlq62jOr7hqOS233tB9NfeLzafYxG+NE4nGoHWjTdfWzbJqhdqgNlBnSZTdZwYlY1fquuK+dQJcKhnxGNyVzVgMwPbSPI/vfZlnwdeK6xsyzP01FTT1tlGDQdBp3vj5uYy8U4eOmySw5NjDORWujWoPZqpVhsxdOv8QJFQx997vf5eqrr+aaa65h8eLF3H333dTX1/PTn/603/PvueceZsyYwd13383ixYu55ppr+Pd//3e+/e1vj/HIxUSR7MvjcKsGkM2WGQB4Dr05bmPqrWXfVoyaztzYfo799P30eNMBUHK9U1LQcywVDAUkGOpXuGRe6nYXTipXvR8AM/3XqJFgqPDEbGrNkCHQnlo3FzS7mbFoNTFdowwvLf93EwBv2ddQO1utBTxqUzWoPAe2jsOoC0skmJkZso9i5/qeo2pqst1SO2rPMRwTJhgKh8O8/vrrnHPOORnHzznnHF555ZV+H7Nhw4Y+55977rls3ryZSKT/T36hUAiv15vxR0wNvSs4u0pVjaGeIvWCGT1WGNvrY73WBS2I7uadBz+d+toSOW5HiLeZSCIYCmkyRdYfc/WC1O1dpWdiTdRiGnqazDTqYxPZ0ZzlgPowEPepXVBhSyk2h4vDRlWHaKVPbaE3nv751OP8JSoo4tj4LtwtBNFEMBTUzcDodq6PtKlSFj2O+iHOHFsTJhhqa2sjFotRXZ1ZRK26uprm5v57CzU3N/d7fjQapa2t/6JSd955J263O/Wnvr6w/sHE6Onu6khVcC4qUZkhvWIhADZPYSy0jAU8ABzR1P/rJR3PptY82KPq7+ZEs1K9p5VIQL2oBY0SDPWnJLFIHsC+4sOYLFZAMkMTiTERDFnCneBXwVAyW9TmnJ86703rSk48NV1uwVS7DAB3V2F80BlP8YAKhloN6rVjNDvXmz2q7EGsdM6oPcdwTJhgKEnTtIyvdV3vc2yo8/s7nnTzzTfT1dWV+tPYOLEadYrh6+5Q60b8ujW12NhVp94sKwIHx2tYmQIq4DlcfipHtGocWoh3/qG2EjsSn+ZabGodjOZvJZp4kYsYC2duvpDULVhBM5UcMtSzaP37MFlUTzqrFum3J106MyTBUKGwFKsPLo6IB0NQTRvrDhUMhSvSwa713FszHlc+T60pqg/vH7QFy1QQD/UA4LGoel3F+EetInSRX72nWqvmDXHm2JowwVBFRQVGo7FPFqilpaVP9ieppqam3/NNJhPl5eX9PsZqtVJcXJzxR0wNyY71Xi3d3b1m7goAauNNBVG+Xwt6AIhb3TROT6xveed3ABQlPs0li0Vagu3EE+nvqEkyQ/2x2Z24v7iVyhv/idlixWxNr62K9PdmkAyGDBIMFQpbsZrSdsW8mMMeAAwO9fpetepCYrrG5uKzWbDqzIzH1c1bRkg349SCNB2a2tkhPayWBwTs6eKl3s7R6U9WHT0CgLtufLfSH2/CBEMWi4XVq1fzzDPPZBx/5plnOOWUU/p9zPr16/uc/7e//Y01a9ZgNptHbaxiYgp2qWDIZ0wHwOU19XhxYNR0Du8ZeEdZj7eTDQ98kebG0S3QaAyr7I9md1P7risBONG/mbajhyhGBWtapZras4c70EPq/KhJMkMDsTuLcCQKUlqtttTxcCjQ51w9rjIIsmaocLjK1IfhYt2LPbELKpktmrt0HT037GXl9b/p8zizxUqTUXW97zi8u8/9U4kWUh+a4lY3XtQHp+5RCIa62o9RgspC1cxalPfrj8SECYYAbrzxRu6//34eeOABduzYwec//3kaGhq49tprATXFdeWVV6bOv/baazl06BA33ngjO3bs4IEHHuDnP/85X/jCF8brWxAFLJwoQR8wpYMhzWDgoE01/mx96ecDPvatx77G+oaf0fSbz43qGE0R9aJlsJcyY8EK9pjmY9Li7PnLD1PnuKar8bpinRBSn/jilqK+FxN9mC3pYCh6XE8rIJ0ZkmmyguEqVcGQQwtRElFb662JbBGAu7QCo6n/4NVnUtvyQ10t/d4/VWgR9TqhW5x0JzLjga78B0PHEk2vWynFWVSS9+uPxIQKhi655BLuvvtubr/9dlasWMGLL77IU089xcyZao1EU1NTRs2h2bNn89RTT/H888+zYsUKvva1r/GDH/yAf/mXfxmvb0EUsOROrbApc2pUW692bC079gc6W5v6faz72AYAFvVsIuAbvcWH1qi6tslZAkD7zAsAqDv8ZwC8OCiuUov+S+MeDBH1KQyLa9TGNJkYTSaiunpZjISDfU+IJafJJDNUKIrdZal/sxpUdtdRUpnVY4NWtbYo2j21gyFDNJFVtrrwJzLjo9G53nskUWPIPD3v1x6pCfcbfd1113Hdddf1e99DDz3U59gZZ5zBli3j2wBOTAzxoFqcHDVnBg5LTr+YvS/ewbzYPt769X8Sc1ZjqV3C6guuBiDg62ZueBdoYNfCbHn5CVade8WojNEeU8GQxak+0ZYvOQv2fZ96XfX66daKcFeo+h1OLYg5kHhBs0owlK0wZkyEiIT6CYZS02SSGSoUmsGARyumAk/qWDJbNJSotQy6Qffl/41/IjElgyGLi4DJDdHR6VwfaVXLCHqcM/J+7ZGaUJkhIUZVakopM3DQDAa8J10PwMmdf2b94QdY+upNhBNvlvu2PIdFS+9Gib3zx1EboiOuMj3WIvWJdvaSdfTo6UW/fmMxRcWlhBL1QkoCie7QNtkIkK1oYj1QNNI3GErtJpPMUEHpMWT+/3aXVQ1wZqa4Q60tMvqnejCkXvuMNhdhSwkA0UQ9oHwyew4AECudnfdrj5QEQyKvujpaOXD7cl790b+P91BylpxS0vuZUlpx9hXsNJ9AQLcQ1zUsWpTOVrUromfXCwAc1tROjIVd/yTS33qTPHAlikI6EgtETWYL+xxLU/cHTG40g4EjiWJzs2KHADDaZM1QtsKoQLK/NUNaIhhCMkMFxW9KNyH24sScqBc1FINLTaeZQ6PXmHQisMTUZgGjrQh97nsBOOHwo3g9+c0OFfnVhzNr1fwhzhx7EgyJvNrz8u+YHT/IytYnCPp7xns4OUkGQ1o/wZDBaGThzf/E8tUm2jQ1ReVtU1NTxS2bADiy+Bo6KKYYH7tefTpv49q95QV2bnqGSDiEQ1Nv0C53Wer+wLR1qdvhRNPKY9WnqXEnikia7JIZylY0FQxJZmiiCJpLUrd7l8YYirlYBUP2cOcQZ05ulrgKhsz2Ila97z84ZKjDjY+3/+/OvD5PVVS9ZrqnL8zrdfNBgiGRV/EDLwFg0WIcePOf4zya3KTmzQfIomgGA0aTCa9RBUP+jiME/T3MC6kdErWrzmNv6ekA9Lz1FACv/ujfaLxtMV2dw0vDRyNhpv3hEmb9+TJaDu9PHXcWl6Zuly15b+p2zKqCoeIlF2RcxyzBUNYimgqGYv1Mk6UzQ/LSWUiSzVpBNWnNlq1EZXNdMU++hzSh2OLqtc9sL8JoMtG2Ru24XtrwSzY8+F/sfPVvI36Oro5WSlFrHmtmnzDi6+Wb/EaLvKr1pBere3a9PI4jyV163nzwT5Y+c6K6recY+7a+gEWL0kopdXNOxDhfBSZVrRvxetpZ3foE9fpRGoYZGHZ1tFCkBbBpEY7t2QxAj27HZLakzpmz9BR8utoSHrersS046ayMtURWV/ZvEFNdLLFmKBbpZ6pTTyygNkidskKS/H8PmVmioThLVTDkjnvyPKKJxYYK/K1O9aFp5blXssc0H5cWYP2he1j0l49weO/Iergd2Pp3AI5RXnDb6kGCIZFHLUcOUKent57bmjeP42hyZ4mpT0dDBUMhm0qtx7zH6DnyNgBHHIvQDAZmrzkPgDnxg+z42wOYNNXSIdw9vJodPZ50Ril05E11TMucxjOZLey1q3VDBpdaOGq2WNnjWp06x+qUYChb0VRmaJA1Q1KBuqBojnQwFLaUDnJmppIKVXSxSAsURIX58eLQVTBkS7xOGIxGqj79NBvn30gL6mfbuu/1ET1HbNujAByoeu8QZ44PCYZE3jRsUanUZJZilv+tfvs7FSprMlXsGHxKKeZQwZDmO0bco/rshBxqO3tZ1XT2G2YBMPedH6UeE/UNb4FmwJOuf2LtUNNxfkPfatLFF93JhmlXsujs9ML1yOz0i45dMkNZi2oq6xbvLzOUCoZkzVAhMTorUrdjtuyDoaKSilSNIk9b/zXEJrtIOIRViwBgd6Zf+9ylFaz711toKFoJQKhl+LvLerydnOBVMwXl60en7MhISTAk8ia5XuityvcR0s2U4uXwvjfHeVTZsyUWEVocgwcOWiL7Ygq0Ye5WO8r0kvrU/S0VawEy6p7EfcPblRHsTj+uwq9ejIKmvpmr2SecxPpP/hB3WbrY3Mx1HwAgohtxFZf1eYzoXywxBRbvb81QYppMMkOFxVKc/n+vO7L/v24wGvFoKgDobm8e4uzJyd/jTd3u70NTxJ1o/Ow5NOzn2PHcr7FrYRq1WuYtP23Y1xlNEgyJvJnWqdKo1kVns9+yAICmt14YzyHlxIEKhoaaUjK71ToDe7gdZ1B9mjSXpYuI2Ra+p89jkg1WcxXuTk+TTY+pnRihfoKh/lTXzWXzqm+wffX/w+aQoovZSgVD0f4atSaDIckMFRJ7SbquUO8sUTa6DSUA+DunZjAU8Klis2HdhKVXb74kY7lq/OzoaehzX7ZsO1Qz6cMzLkIzFGbYUZijEhNOV/uxVBXk2avPxlOhUqs0bBzHUWVPj8dx6CoYGmpKyVai1hm4oh2UJnohuarSRcTmrjknlXpPMgaHt3U37k9PrxkT2+Sj5uy3Dq+56FOsuehTw3ruqSpuUNNkerSfNUO6mibTjBIMFRJnr/Yb5qLynB7rSyy4DnunZkuOkE9lhvxa30AIwFUzD4Cy8JFhXd/f08UJwa0AzDjjyiHOHj8SDIm88CQKEHbhxF1agXn6cgCcvuF/mhhLoaA/tdjZ5hx8zZCrQhU0LI+1U6mraazy2rmp+4vcZew1qzoae43quDncNaxx6f6+a42S2+fF6IgnMkP9B0OJNXCSGSooRWU1qdu9m7RmI2SZ2v3JQn4VDAWx93t/xQzVXb463jqsYrJtRw9g1HR6dDvT55w4/IGOMgmGRF74Egt9vZp6ozZaHOrv5ILTAufr9qRuO4fIDJVU1anztCBGTSesmyirrss4x/rB77Nx1qfpWqX66NkiwwuGDP1Mr+kSDI2qdGao7zRZcjeZJsFQQSkqLiWsq3Vc2TZpTYrYVCZpqvYnCyeDIcMAwVDNDIK6GZMWp+Xw3pyv721RH4jbjbll7MaaBEMiL4Jdaut4suCZwaTeUIx6ZNzGlItgYt7cr1sxmgZ/oyt2lxHW0+e0GCowGDMX1M4+cS3rrvo6tlK1y8wR9zIc5lDf6TXNLsHQaBp8mkzWDBUizWBgy7RL2eZYT/38FTk9VneoN2mjvw1PWzP+nuF9cJlIurs6CAZUXbVoQFXeDw0QDBmMRpqNKvPWcXh3zs8VaD+sntOc21qusSa/0SIvook6OsFEkz+DSfUGMukTIzMUTLwA+jU7jiHO1QwGOrRSalDfs8dSQ90A5yY/pRbFu4c1Lks/GSWDvWRY1xLZ0Y2JgpaxfjJDiWBI1gwVnnXX/mRYj0vW5nL37CP+o5NoNpQx53+253NoBSXg6ybyveW0G0qY+d/biQbUa0zE2H8wBOCx1YG/EX9z7pmhqEctoQjYqoc34DEimSGRF7FEijlZ8MyYqJBsZGJkhlLz5trALwi9eU3pWiYB+7QBz3MlgqFivZt4LDbgeQOxR/tmlMzO7OuoiNylgqF+MkMGXeoMTTbmxBqjhdFdlOFlTvzghOurmItjDer7nBVvoOXoASKtKsDx22sHfEzQpUqH6B0Hcn4+Q7facRt11gxx5viSYEjkhZZY6BtPFDwzmNQiVOMEyQxFUvPmQ+WFFL8lPf8dLZo+4HlFpSoYMmo63d7cd5Q5Yyqj1EZJ6pjFJTWDRlViAbU2SGbIIJmhScNR0jdjMZkLMPZ0pL+35t2vYWt/B4B41SCLm0vVblmr9yCb/u9u3nzxD1k/nyVwDACDe+BgqxBIMCTywhhM7HpKzr+bhz9NpsfjHNyxOTWnPRaiARUMhY3ZBUNhazoYMpXOGPA8m92JX1c/i57O3FtyFOtqXEdt89LXLJJgaDTpiSne/oIhgxRdnHScZX2Doe72sQmGWo4coPXowTF5rqSQ51jqdqDhDaoDKjNUNHPlgI+xV6vXn2W+Vzj5zVuY9fdPEosO/Nq+8Ve3seuOtXS2NuEMqc01ltKBFhMUBgmGxLB5Pe0c2qEKLVrCKuthdKlFcslGoiZyD4be/ueTzHr0vbxx3yfzNNKhxYIqAxPJMhiKOdPbd20VswY916upukA+T25bd0NBPw5NTdX4SheljjuKZZpsVCWmybT4wMGQJo1aJ43iir6Z3bEowBj092C+712YfnZ6xpZ1PR5nz9YXM3a45lOkVz0lR/Or1Orq67rFJw/4mNI6VUQ3WeusSAtweO8b/Z7bcuQAq3Z/n4XRnex96TFKomoJhbOivt/zC4UEQ2LYDt7zUWY++h4O7tiMPeIBwFyUmBZKZIbMwwiGeg6qAMvtzX3nwnDFQ2qNQNTUt+9XfwxF6U+TJbVzBj3XZ1TBUNA7+NbdQzteZ+NPr6WjRS047O5QmaSYrmGqPiF1nivHrcMiN1oyGIr1Xe9mkAXUk06xu4wOionqBg5ral1LqOvYEI8auf3bX6IUL6V4aW9O12N7/S8/Z/4fLiT0naVs/PUdRCP9VEIfAd2XzlCfGFCvtc1UZLTyOV71jAWpDLc3scWkdferqfvfevmPHL5tEa898SP2//EuLJr6PYkf3UaZ7gGgtGZmXr+PfJNgSAxbbVClV1t3b8IZUzsSbG71C2Uyq2qmw9pN5lWVrIujw2tuOhx6IhiKmbMLhszF6WCocvrgwVDApLbC926t0Z+Wp+9i3bFH2P30PQD0JMoVeDUXjkSF65iuDVkHSYxQYprM0G9mSP1/ljVDk4dmMND5L79l7wWP0lS8DIB4T+5T2rnq2v1S6ranJR0MRQ9tAqAML+t2f4vNj92Z1+c1BNL9DpOZnmbH/EEfY7U5OHDOg2x/173sqLxAjfPIttT9oY0/p05vYvXW/2Zl8+9Sx2vbN2LS4kR1A2VVMk0mJqFIOESZrgKgaPtBihN1dJylavrIaFbTCMOZJrP4VYq6VPeMWdd7LaSmyeLm7Hp4OcpUar2NEmz2wQOosFlVtI4N0bneEVDrFLQu9cLo96gX5B6tiOo5S4joRpoM1X1qGon80gYNhiQzNBnNXbqORWvPIZYowMgYFGC0N7+euu1vP5q67fCqHVvHSKy/bHk7r89rCfZtGh0oWzzk40489X0sf8+lGKartUVFnWpcejzOrB7VbsOg6Vi1CB2o17xki6YOrWTI+m3jTYIhMSwdLYcxJD5VmD37KNJUX6/iRFl8U2KazKLFcg5oXCGVorZpkWHtwBoOLaIWa+uW7IKheavOZFPJBRxYduOQ50asao1PvJ/WGr0VRdWLlM2faMia6FjvNxZTUTODAx/4PdoVj2c1PjF8mnnoYEgyQ5OUMzHNHxjdYCgeizEr8Fbq64gn3ferIqS6wx8sP10NKXCUkWo/dpj9b6lpLVtYvQ7FdC11v3X6sqyvVTH/JABmhvYSj8Vo2PMG5XQR1M285j6XuK5x6JQ7UxXBATymwi64CFJ0UQxTV0sjyYmiyp6dgPrlKipJLKC2pJv+RSLhfrshD6Q0mk5Re1oaKS4Z/TLuxoiaJtOs2QVDJrOFk294JKtz49YSde3A4IFdSVzdX5wIBiOJabVgIrO0YNUZWT2fGBlDYs2QId7PmiEkMzSZGYpUZtsaGt0p+sa9bzKTdC2juFdlw4P+HmriraCBZeHZ8MoTlIVHvrOt9b4PMy+yiwbLP3BFPQDsNS9gYXQXAJXz12R9rfoFKwnqZlxagMYD79C8/RlmAvusJ3DS5x8j4OtmpbOI/Ru/xZz4QQB81tz6xY0HyQyJYfG1HU7dro8lmrRqRakpHIvFmro/Eg5mfd1IOER5YsEdQM8YbXE1Rv0AaNbsO8JnS3OorfCmUCcbHvoSG+7/PJ2tmd9X0N9DMWoMFTG1uyOZSQonqnqLsWFIZIaM/QRDxlRmSHaTTUZWt/qI54jkNxh69bFv0n1LDXu2qXVCLW+/kHG/0ac+AB3d/zYGTceLk/olKjNUqbcTDmX/Gnq89mOHWRTdoXqL7dyIO/H62lFzKqBaEE2ffcIgV8hkMltoMKs1jC27XsXU+AoA3pq1ANid6jW0vWhB6jFhe2FXnwYJhsQwhTvTad3kdFm3Ib2w19wrGIrm0Om4vbkhdT2AQOfIU8TZsETVNJnRll1mKBcGpwqG5no3sf7gT1l/+AHMP1rJa39Itw9ob25M3S7SAng97eh+lSmKJTJLYmwYUov/+06T2XUVsFrs+f9/IsafPVGAsSjmyet1q3b+iiItQNtr/weA3rARgFbUFLotqD4AdTaoAohNpnrKa+oJ6maMmk7rkX3Dfu6Drz+Tuh1pfif1oav29I9zjHLerDgv53WInW4VPEUatzCzewsAxQvPzDgnVpku4hgvGrhKf6GQYEgMS9zbN0hJNmkFMPaaRojksDXU03ww4+vIGGxxBbDE1QuEyV6c/2snai+VkqhynUgxn7DlNnoSa6K6WxszHtN+ZC/GRJNW3S5FFsdSsizE8U2Go5FwatNASXVhbxMWw1NUrtY8lujevG3e8LQ1MzsxXWT1qKCm2qtq9OyveA8ArnCindExteTA65yFZjBwzKiCs84jufcES4rufzF1u7hNLXSO6Ebq5y2l+tb9rP3sL3K+pla7AoDFzU9QgYeQbmbuqjMzznHOSBdxNJUMXKW/UEgwJIbF5OsbpIR6TedoBkOqs3s0kn1myNfWkPG13jM2wZA1EQyZRyEYshZnrnnaedoPOGSow6kFefvp+wDwH5cB8x47gCnkAcDgkCKLY2mgJsMdLUcwaLraJlxZ2K0FxPCUVKh/V6sWoee4oocdLUd47Q8/yblv2f5emZnSwCH8PV2ppQWOZR9Qx+NqWs7cqYKeaJmq+NxlURkVf8v+rJ6ruXEvW759Ebu3PJ86Vt2xOXV7dkitEeq9pGE46tdcgBcnblRGfa91UZ9dtdMXpdch2csLe1s9SDAkhska7FtNOblrKvV1Yn1+LItgKBT0E42EiXQezjhu9OVWtXm4bHG1G87izH8w5ChO76Tw4mDx6RfTNO8yQKXP9XiciOe4NURtjVgTHeuNrtFfQC7SjJZkMJSZ0fQcU4F6u1Yq5Q0mKbuzCJ+upkm7WjM/oOx95CZO2noz2//005yuGd6XzsxMjx2h4e1XMWg6bZSkqj6X4iUcCuL2HQTAWqMqzgecKqMS6ziU1XMd/OM3WNXzApY/fZZ4LEZHyxFmxdMfMJMV7b2Gkpy+h+NNm7kQw41vs3n1N3m1/ANYzv96n3PKqqZzyFBHRDdSPSf73WrjRbZEiGEpSqR1j2rV1OoqexOzZU7nRLREZmiINUNdHa0EfrAOr6kMylRqtSvxqcMa6lsTYzQ49ABoYBuFYChZewlgl/tdnGRzsPi8TxLY9X1mxw+yc/PfiXdnlv+PexpxJDrWWyUYGlPJnZDm46bJfG1qKrPLVE7hLwcVw+UxuHHqwURD0yWp49Vd2wGIdx0Z4JFp4VCQbX+6hxknvY/K9tdSxy1aFM/WJwDVb3BpeTVh3YhFi9HefIja6GHQoHymWm+ju2dAO5i7G/t7mj7q2l4GYFa8ga1/fwQ9HqUMOKJVM11PZ9l95pFnm13Fpay58JPAwG2THNf8mcaOY8ypnTXi5xttkhkaZ1v++jBvf/10Du7YPPTJBaQ0roKUo0XpiF9zZr5pR0lOkw2+ZmjH0/dQQxsLorupb30egAbrQgAc4dEPhvR4HAdqt4bdWZL36xeXpsvcW5b/CwDuskreLD0LAO8rD6QyYMlS95buBsrjqsSAvZ+u2mL0pJoMH1cwNLlpYCJsExbD12NUgUKgV0PTHm8n9TGVtTaEuoa8xrY/3cPJb96C8YGzmR09CKQXS89s/hug+g1qBgMdmvoQ2bxzI04tSFQ3MC2xu8tcoarbuwapNeTr9hAOBTm89y3q9HSG2bnp+2hvPArA4fJTaSH9YTVkHZsPWJW1s5izZO2YPNdISTA0jrY9+whLX/kcJ4bfoOnlX473cLIWDPgoSdTIiNWlm/sZnZmFtaKo7ceDTZPp8Ti1e9P1epKfXnrKlwJQHBv9oot+nze1g81elP9WFxarjVfLL2abYz2LT70oddy+8iMATO96HWtQBT6HrCo9vtj7CsX46KSIWSeclPcxiYENlBmKe9UbTdguwdBkFrCooCXY8Dpv3XkGm/98Hw1vb0y9RhjD3UNfpFEVOKykE4Omc8hQR6NLvaZNQ/2um2vVB8kukwpMwrufA6DJUJOqy1ZUo4Khskj/jWObG/agf3sR+791JodfVQVZ9xlnE9TNLIjuZqVfbXt3LLuYNkt6EXPUJtnm40kwNE7eeukPLH7ps5gTDe2M/tHvhZMvHYlt4EHdjHvO6tRxS3Fmo7+optZVxKMDZ4be3vBnZsT7pp2tM1YBqiXHmy/+nh3/7xSO7N8x4rH3J9CtPunFdQ3HKEyTAaz97P+y4qanM4pPzlj2LkAFgNVBVYK/p3IFkJ7b31NyOiazZVTGJPpnTgRDluMyQ8laMLqr8LcJi+ELW1UGZVXjwywJbaPutbvw7ks3JTVFhg6GKr1qi3yyuWlz2cmE3HMzz5mnFhj7repD5OJ2lTFqLl6aPqde1eqpooNgwNfneQ7840FcWoBF0R0s2/0jAFpnXcS2aR8FoMEwnS3rf8TSd32AHueM9AMdhV8ReqxJMDROet76S0YPF8sYrY3JB2+iqWC7oYyKunRhLXtJ5ifmmJbMDA0cDIU23A/A5qL3ZpRvr1m4DlDtPEr/cTOLI2/T8OL/5ucbOE7Ar9bm+LGhGcbuV8JdWkGDQX1aq0GtwbLPzkwpW5Zc1OdxYnQlM0NWLZKxvTpZC8bglmBoMovZVaBg1VRmsIZWpu97NHW/NTp4MBTwdTMjphY8H/7Ab9kw61PM/fBtmKsXps4J6Wamz1NBTzLTmKz/Y1n+odR5JeXVqYCq9XDf7fVVDX9J3U5+gKpe9T5O/sQP2f/hv1F78zZWnXuF+r5K08GYoWjgDvVTlQRD42TtJ3/CpqW3ceDk24GxWRuTL752lRnymioor5qOF7Wl8vjaK9HEAup4tP9psrbmRpZ1q4qspefcxE67ygZFdQPV9fPoSlw3OQ8+VDuL4Qr5VGbIr9lH5fqDOVZ0YsbXtYvWEkkEhX7dyqJTLhzzMU115l6tZKLR9FRZctOAvazwa6aI4dNcfQOFZMNRAFts8K31h97aoAolUsqCVWew/qpvUFEzA3d9+ne9wTQzlfHtnWn04mDxqRenx2IwcMyoah8dX2uoce+bzI3tJ6ob2GVS0+stlDFr8UkYjEbmLFmbkVW2VqWDIUuxrEM8ngRD40QzGDj5X27AWaVSl8XRsWlImg8Rj3ph8Nuq0AwGGs66h82rv0nV9NkZ56UyQwNMk+19+qeYtRg7TYuZu3QdgbnnA2rrstFkwmPI3J1mDHry/J0oIV+iGKJh7IOh+LRVqdsxXaO8up62xILKna612BxS6Xis9Z7KDIcCqdsliU0Drsr6MR+TGDumonSG+23L0j732+N9p6t68+zbBMARx6KM4zVz0jvTOnu1qjC4a1K3d7nf1aePo8emavT4d/4dgO3PPcbGR77O4ed+BsA79lW4Ln+IHeYTObj0+gGz2yV16c70tlIJho4nW+vHWXGF+o9eqnvQ4/ExnaYZtsRC0ohD/UItOa3/qZxYIjOk95MZikWjzDz4GADdS1Qa98Rz/52tB54lPONdVAM9plIIp7eUmsOefH0HGSIBFQyFDI5Ruf5gShesB1V0lk7NTYXJRIt9DtMCregnXjzm4xFgsaaD4kgoCEWqDlYpanqkrHrGQA8Vk4CtRAUnId1M5ccfxvezdTi1IGHdhEWL4tIHD4ZMzdsACFRk1tYpcpfRQhlVdBCvTgdGttJ0pjG527Q3bfWV8NI/Wd70W7b+dS3LXvkcxl4ti0ILLmL6nMVM/8org46rZlY6OCsqqxnkzKlpArzzTm5lVeoXwapF6PZOjOyQ2ZdIGRcN/gsVT02T9W14+daLv2MarXhwsfScjwOqbsXKm/7C2ktvBiBozVzkZ0vU3cm3qE/93IPGsc/CzDzh5FSlbo9R7fCovuzHbF3/A1ad929jPh4BRpOJqK5eGpM1spK940K6OaNUgph8Fpx8LpuLz2Lbkpupmj6bHe7TANhjVdNcLi1ALBod8PGVPWqjh2NW307wh9wnEdGNTFtxXupY+YxFxHWNToozdpsmLX/3R9llWoRdC7Nyw/UYNZ2Arqa/QrqZBWdcmtX35XC52Vh9GZuL3kvtrMVDP2CKkczQOLM5XPTodlxagK7WwxSXFPaWx0M7Xmep90XQwDVz1aDnxgxqmqz3brJXH/smi9/5HifoIdBgZ/WFrBtgKihir4Bu1UfHrMVwxIau7zEcUZ8qhR8xj85OssFYbQ52m+ewILobn0X929fMmE/NjPljPhaRFsGEiTDhsKo/5W1poBZoM5QxfSJkb8WwWaw21tz4f6mvqy+6la2P+7G/5wvwJ7W4ucfbibusb1Dc3dWhWm1oUHfiKX3uX339I3R7O5lZmv6gN33OiWx71z24KuopPW6KDNSSisiZX4FnVQb9qFaF4zMvseO1v2Avq2VxefZTXus+dU/W50418ltdADyJ0ujdbWPToX244rEY/sc/g0WLsc2xnhNPHXxxbzyxZkjvFQwV73mCYvyYtRh+3Ur9uZ8d8PG2he8F4PUq9QLkimdR32MY9IAHgIgl/zWGstFZotYlhGxSv6ZQRBL/d6NhtWbI364K7nlNsiV5qqmft5SVN/2FRWvem8rI+Lr6bnjZ+erfOPrD8zBoOs1UUF7dtx+XwWjEXdr3/9CK917KvOWnDjiGJaddxFbHKfh1K97zf0JJRQ2rzv83Fq89dwTfmehNMkMFoNtUCpEmAp39F9YqFK8/+VNOiryDT7dRc9mPhlzfFE9khvRYOhiyx9RU1+bV32Thuz7CdPfAHdlXvPdSwqddzJy2JrjvtxTrPaOyrkpLLMyOW0vyet1sTTvnerb+4RilZ1w7Ls8v+gqTDIbUNFk4uWnAKlNkU1mP5sROGL83MxhqOrSL2U9djlWL4NetHD7pv8j3qpxlNz5JMNDDoqKSPF9ZgARDBSFgqYAIRL2FHQwZ9qruy2/MuIL19fOGPF839M0MJbM7pbOWUzRIIJRksdpSazRMWhyvtzPvU4nGZHl9e0ler5utGQtWMOOLfx6X5xb9ix7XZFj3qmAouWlATE1+gwvinYR6PBnHD73wS6ZpEfYY51H6id+zpib/i+yNJhNOCYRGjUyTFYBIoshXvGdsOrRnKxjwseFn1/POxqcBqPCrOhfOueuzenwyM0RcLaDW43GKdRUMOUuyn26wOVyp9HRPZ/4rdZsjKltldIy8eaGYHKLJshCJNUPmRPXpoTYNiMktaFC1z8K+zM0u5YeeAqBj0eVUjEIgJEafBEMFIO5QmY9Ca8mx7fFvs/7o/+L42xcJBnzUxVTbjNoFfXdJ9Ec3JBKPid1kvp4uLIn2I+6y3D5he7UidQ1P/gNGayIYMjklGBJKMhiKRhINfIMqGDK5a8dtTGL8hUzqdSjSKxg6sv9t5sf2EtUNzM9yZ5coPBIMFQBDosiXJdg2ziNJ0+Nxpu/9DQCz4g3s3fwsRk2nkyLKa7IrOqcft2aou1MFMiHdjM3uzGk8PoN6EQp60z+jQzu3cODtVwd6SL82/e67bPzxNRltFpLrmCyuoaftxNSQygwlpsnKw2qazFUru/ymsohZvQ7FA+mdrQ0v/QqAHbYVqVIpYuKRYKgAWBIVSAupJcfbr/wpowR96NUHADhqmZP1AmbdmCgFnwiGfB6V+erSinJeBB0wqZ1eoW4VDHV3dVD2yAVUPvYBurs6shtPPM6SN7/Butbfsu/NDanjzrgqr28rLuyyBmLsJKunxyMhggEfVbr63ayasWiwh4lJLmpRwZAeVMGQHo9T1aCmyAILpI/gRDZhgqHOzk6uuOIK3G43brebK664Ao/HM+hjHn/8cc4991wqKirQNI1t27aNyVhzZS9VwVBRAbXkCG+8D1Cd3IFUD7Fu94IBH9NHIjOkJYKhQGI7ajLLk4uQWQVDsURNoF0vPEqRFsClBTiy6/WsrtHecjjVzNDbtCd1vEhXwZDDLTuFhBJN1cgKcezQLgyaTrdup7RCmrROZfFE+Q0tEQxt+t13mBs7kCh+eNl4Dk2M0IQJhi6//HK2bdvG008/zdNPP822bdu44oorBn2Mz+fj1FNP5Rvf+MYYjXJ4jm/JMd46Wo6wtPufALxWqWr8mBNrfQw1SwZ83PFSmaG4qtYa7laZIb8p9+KGkcS293giGDLt/EPqvq5D27O6Rtuhnanb4baDgFokbkt0p3blsKhbTG4xg/q/G4+E6Dy8C4BjptqJ0S5HjB6beu0yhr0c2rmFZW9/E4CtC66npEIW109kE2Jr/Y4dO3j66afZuHEja9euBeC+++5j/fr17Nq1i4ULF/b7uGSwdPDgwbEa6rCUJuaZbVqE7m5PVlvOR9ORnZtYqsVo1Gqpfu918Gi6GmvJ7BXZX8iYyAwldpMlKz2HzbkXN4zbStS1gp10dbZxgu810BJ3Hnsnq2t098oGaZ5DAPR0tmFDNUl1ybZVkRBPBEN6NEywRe2i9NplPchUZ7Cr1y5TpBvf49dj18K8YVvNyZd+ZZxHJkZqQnzM2bBhA263OxUIAaxbtw63280rrwzenC5XoVAIr9eb8We02Z1F+HRVht3TemTUn28o/mYVNLTbZjBjwUq8qMXOcV2jbsHK7C9kzJwmi/vUNFnEUpLzmDSHChBNwU52v/AoFi3dG8jl3TPQwzJE2/enbtt86ufs60qsQdKcGIzGnMclJqd09fQQWof6fxMqnjWOIxKFwOgoAcAeamdB6G0Ayj/6Q3ntmAQmRDDU3NxMVVXfVgVVVVU0N+e3UOGdd96ZWpfkdrupr89u59RIdaZacqg36VDQj79n5L24vJ523v76u3j1sW9m/Ri9fR8AweJZGIxGDthOAOCooQaHK/usjpaYJjMkMkPJSs+xRJYnF8ZEMGSOdGHZpabItjpU75/a8IGsphfNXYdSt92hREXhxO60Hm3sm7SKwhU3JjNDIew9qkmrsXzOeA5JFABzovzGnMgeTFqcToqk6ekkMa7B0K233oqmaYP+2bx5MwCapvV5vK7r/R4fiZtvvpmurq7Un8bGxrxefyA9JvVmH+xsQo/HafzWaXi/vRpft2dE19376lOcGN5O9c5fZP0YW7cKGrQy9eLvn6Yycsec/U9HDijxhpKcJjMG1QJxzZ77NKDJpXZ6OcPtLPRvAcB19s3EdI1SumlvOTzkNVz+9DlVsRb0eJxQt5q68xvHvkmrKFzpabIQZSH1/8ZZk8PmATEpWV0qGEpmpo9Y58o6skliXNcMfeYzn+HSSwcvUjVr1izeeOMNjh071ue+1tZWqqvzWx7farVitVrzes1s+BMtOcKeo3i7OpgXU9mZ7ZufYfm7PzLs60Y61Qt5Lk1OS4MqAHRMUy/+Kz78JTY8FmXGGVfl9NyaKTMzZA6rTJfBmXswZC1Wi5vnRPdj0HQ6KGbe8tM4/Mdp1OtHadq9dcjKr5XRdKkAhxaivfUokR4VDAVNue9wE5OXnpzijQSojreABuUzcvwwICYduyuzMGtPiZRamCzGNRiqqKigomLoHTzr16+nq6uLTZs2cfLJJwPw6quv0tXVxSmnnDLawxwTYWcN+FQPpM7mgyQno/y7n4cRBENxbxMAxXp3Vk1OY9Eo02LN6sW/XqV/7c4i1v/bXTk/tyHxhmLQ1acoW0QFQyZX7ru2nIlt7wZNB+CQcxllBgOtjnnU+47ia9wOfGDAx/d4OylHPb8XB8X4aT+yl5hfZasiZskMiTQ9kRkydR3ErMUI6WaqameP86jEeHO4M2uRGactHaeRiHybEPm9xYsXc9555/GJT3yCjRs3snHjRj7xiU/w/ve/P2Mn2aJFi/j973+f+rqjo4Nt27bxzjtqt9GuXbvYtm1b3tcZ5UWRql9i9jXT3dKQOlzW+tqILmvyqe/VosXwZbEG6djhfVi0KGHdSHUWzVgHc3xmyBFXi9GtRbkXN3SWZtYACtWqqbtQmfr3N7TuyLh/56ZnOHD7ct56+Y8AtDTsBqCTIo6YZwHQ3bQXPeABIGrJfYebmMQSU7xlPpWhbTbWyCJZgeu4YKhszqpxGonItwkRDAH86le/YunSpZxzzjmcc845LFu2jIcffjjjnF27dtHVlX7D/+Mf/8jKlSt53/veB8Cll17KypUrueeee8Z07Nkwlahtu/ZgC4GO9NqWuZE99HiHX4zRFkz38kq2wxhMe4OqxdNsrMFoGlniMBUM6SoYKkpM1TlKci9uWFyauYC+/IQzAbDWnghASc/ejPu9Gx5idvwgRc99mXgshueICoZaTdPwJbZIh9sPpRZ1x4exqFtMXrpJTZXXx9SUcadVttULsNmdRHQVFEd0I3ULVozvgETeTIg6QwBlZWX88pe/HPQcXdczvr7qqqu46qqrRnFU+WMvV7vWiiNteD3p7fUmLc7+Lc+x7Mx/GdZ1iyPpXl4+TyvMHHzdg79ZFZjrsNYz0t7LhsQbijEeJR6LqY71GriGEQxZrDZ8ug2nFsSn25i9ZB0A5bOXw6swLZK50L2o5wAAM+ONbP37I4RbVbDUba8jUlwPXjB0HcIY8QOg2UuG+22KySiRGUoWGw0WzRzP0YgCoRkM9GhOSvFy2FjPbJtjvIck8mTCZIYmO3eVCj3K4+0YejKn8Xy7nx/2dcti6WAo2Q5jMHqiFk8wDzVVDInMkFGP0O3txJhY71NUOry2F8nO9fttJ2Ayq2uX1qg3qSItQNDfkzq3uldw5Nz0fbTOgwCEi2diKpsFgN13BHOiY73BLh3rRZqt9oTU7W7dTtGKi8dvMKKg+DRVd63dJU17J5MJkxma7CpqZwFql1ORV2UxdpkWsTC6k7KWTcO6pq/bQ5EWSH2dbIcxGFv3QSC9rX4kUpkhPUpPZytuwK9bceTYsT7JZyyGWCs9NSenjhUVlxLWTVi0KJ62JmpmzKer/RhlqCAnqJtZEN0N7WqazFgxB3vlLABKQ0fxmUoAMLskGBJpK86+gsNzV2Oy2qicNosTRzhlLCaPgMEJMYhWZd+aSBQ+yQwVCJvDRVei0vOssKqo3DlXdUGeE9lDMODL+ZodzYcyvk62wxhMaVCtV0puqx8Jg0ntJjMSxedR65WS2Z3haCtfQ0g3U7P2w6ljmsFAp6YWP3e3q51zTfvfBKCFMrbWfSx1bkC3ULv0PZRNV99bdbwFZ9QDgNk1vi1QRGHRDAbq5i2hpn7eiNfOicmlveIk9Tq0+v3jPRSRR/JbXkA6DBW4475UZ/WKE86gc9c9lGpeDux4jQWrzszpet7jChEm22EMRG2rb8rYVj8SxsRUlkmP0JWo9OwzDj8YWnvtPYSC32W2I7NadLexhOpYO/5OVUfIe1jtHmyxzmD9J+6m/dgXiEUjuNxl1LncRCNhOimiVOumXlePsRdLx3ohxNDWfeoegoHvMGuYGW5RmCQzVEC6LZlvyKU1s2i0qQXPnXs25ny9QHvmouLkzqkBn9/TlqqsWjl95DVVjGY1TWbSo4S7VTAUMA1/C7tmMGBz9G2b4TerrE6oS2WfYi0qs+YrUlN95dV1VE2fnWolYjJb2FVzUcY1nO7ct/sLIaYmmwRCk44EQwUkaEtvHw/rRkorpuGvWAaAoWlbzteLdh3N+DrZDmMgyV5oAd2C2TLyKtzJRc4mosRSHevzX9wwZFWBTCyxJsrWpdZc6eUDL3CsO+u6jK9dJbkXghRCCDE5SDBUQOKuaanb7VoZBqMR28w1AFR432Hv9n/SfusMNv7y1uwu2K3W0HhQ2ZRkO4yBBHs8APg1e24DH0AqM0SUuF8FQ8PpWD+UmF0FQ5pPBUNlQVW00lk7cKn8unlLeNOqCqZFdQPOHBrQCiGEmFwkGCogmrs2dbvLrKbMpp+o2o3MiDXge/pWyumi5ODTWV3P4lf93I5Y1JRXsh3GQMK+RGZIy0/tDGNiN5lZj6IFVFYqbhuFXVsu9bMyBdqIhEPUxlQQWDl78FL50VVXAdCpuaXZohBCTGGygLqAWMvqUrf9VvUGX1k7i1ZKqdQ6WR5QW+xLom39Pv54jpDKlPQUL4C2N1PtMAYS8qtgKGjITzBksqSnyUwhDzA6xQ2NLjW9aA2103xoJ/VajIBuoWr64OUBlr33X9nYtAvLtMXI8mkhhJi65ONwAXFV1Kduhx01qduHHZk7u8r1DuKx2JDXc0cSdYWqVcuKoiE610cDKlgKG/MUDCWmySxaDHMiK2Vw5D8zZHVXA+CIdtJ+8G0AjprqhuwlZTSZWHfV11l17hV5H5MQQoiJQ4KhApKspgxAcXr9ULByWcZ5Zi1GR+sRjnfg7VfZ9syvAdDjccp1tU7HPWu5uqTePWgQFUsFQ/nZKWGy2FK37RGPOubMfzDkKFOBY3HMQ6BJNWz1OGbl/XmEEEJMThIMFZDSimmEE00Ak41bAVxzVIf2Lpx0oHZjdTYd7PN4w//9Oyv++SkOvPManW1NWBJ9laYvUAuFjZpO9yBNX+NBlTmKmvITDFl67UgriqrntYxCccPiCvWzKtG9mNtUjaFw+eA92IQQQogkCYYKiMFo5JhBTfm4qtPrXZacfjEb51zP4bPvo82ksiA9rQ0Zj43HYqmFw207X6HlkMqQtFJKkbsMv64Ck57OgVty6CHV2ytm6VvLZziSW+sBSnUPALai/NfzKalQWTSzFqPOuw0A+/RlgzxCCCGESJNgqMB0vfcuNsz+DAtXvyd1TDMYWHfl1zjx1Pfhs6rFwuHOzOrSnvbmVIftWNObdO3fDMBRu6q1k2yDkWyL0R8tpKbJdHOegqFEOw4AmxYBwFGc/2DIYrXhTbQyqUEtLq+cuzLvzyOEEGJykt1kBWbJaRfBaRcNeH/YUQM+iHdlrhnytBwmOQFV1LUTX0T1MguUq+3lPmMRxNoIJtpi7Hz1b3TueomlF9+Iq1it49ESj9HzlBnSDIZUE9Uk5ygVN+zS3BTravx+3cq0mSPvrSaEEGJqkGBogokX1UIrmHzNGcd97engqD68n7aoWv9jnaHWCwWNxRAD/5G32X7XPalt+pueKefkf7kBAFNETZNptuH3DzteBBMWVDAU1zWKikenO3yPqRQiquL2YfNMFgyxk0wIIYRIkmBogjEnFlY7Ascyjgc70603ivFRHFdZkmmL1OLrkMUNYVi1+/sZmZpkZWgAU1Q9xmDNYzCkpf+LdWsO3KMUpAQsZaBm4vC45o3KcwghhJicZM3QBGMvV7WIiiOZC6GjXU19zu2kmOq6uUC6DYZFixLTNXaYVe0hPRJMnW+O+QEw2vPXmiLaK97u0fIz/dafiC29FiledcKoPY8QQojJR4KhCcZdrWoRlcfb0ePx1HGt51ifcxtt81NtJnq3wdhSci5dpSoYIpoOhqwxlRky2/OXGeodDAUMoxcMxR3pGtLOOtlJJoQQInsSDE0wFbWzAHBoIbye9tRxc0BlippJL1D2lZ2Yuq0lKj9HdCPTL74N3agKImq9g6G4ygxZHPnrLB/tNU0WNOUvyDqewZUOhqYtkJ1kQgghsifB0ARjc7hSXeg7mg+mjttDapdYQ9n61DFr/arU7bIT3kNEN7K5/uPUzl4E5kQwFAulznHoKhiy5rGDe0xLb68Pm/MXZB3PXKxKDnRSTHlV3RBnCyGEEGkSDE1AnQaV/ek+dih1rDiqskSmBWeljlUvXJe6vWDVGehfPsr6a74HgGZSwZChV2bIoQcAsDpL8jbW3pmhqCV/Qdbxak88DZ9uY0/pu6QDvRBCiJzIbrIJyGuphOBBgh3pwotl8Q7QoHLeajYc+zRaJMjaWZktKSzWdK+wZGbIEFPBUCQcShVGdBaV5G2svTNDccvoZYZqZswndPMBTurVD00IIYTIhgRDE1DIXg1BiCUKL/q6PTg1Nd1VVl1P/ce/PuQ1DGa7+jseBsDf7SGZt3HkMRiK98oM6fb8Xbc/VptjVK8vhBBicpL5hAko5lbb6y2dewHoONYIqMrL2WZ1tERmyJTIDPl7PACEdDPmXg1WRzzWXsGQwT46BReFEEKIkZBgaAIqnn86ADO6t6LH43S3qumyDkP2HeGNFpUZMsVVRimYCIZ8mj2PI4WYIT1NZnJKMCSEEKLwSDA0Ac1deQZh3UQlnRze/zaBDjVd5jVl3wTVaE0EQ7qaJgv5VJPWQJ6DoXivNUMWV/bBmhBCCDFWJBiagGwOF3utiwFo2v4skS7Vpyxgzb4JqjGxZsicyAyFfV0ABA3OfA6VeK/MkLVIgiEhhBCFR4KhCcpbdTIAhkMvo3er6tMRR1XWjzdZ1WLjZGYoElCNXUOG/C5C1nsFQ/bi7DNXQgghxFiRYGiCci06E4B671ZMfhUM6c7cgyFLIhiKB9U0WcSU32AobkgvoHa5s89cCSGEEGNFgqEJau7KdxPWjVTTzryuDQCY3NOyfrw5sWbIipomiyWCoagpv/3DemeGikokMySEEKLwSDA0QdmdReyzLAKgFC+dFDN9+VlDPCrNbFNrgyy6KrSoh3oAiJnzu2YoGQz5dBsmsyWv1xZCCCHyQYKhCSx40nUcMtSzse5qjDdsUz3HsmRJFCi0a2H0eBwtpNYMxc15zgwZVQDUrY1ex3ohhBBiJKQC9QS28pyPwTkfY+YwHmvpVa05FAqgRVRmSLfmubN8IjPkN0gwJIQQojBJZmiKstnT02GhYABjWAVDmjXfmSEVDAVMeQ6yhBBCiDyRYGiKMpstxHQNgEjAhynqA8Bgy3Mz1cQ0Wdg0ek1ahRBCiJGQYGiK0gwGQqhAJRT0Y46pYMhoy28GR7Op9q9he2VeryuEEELki6wZmsJCmgUHIaIhP9aYHwCTwz3Eo3Kz+NxPsCHcw8wz/y2v1xVCCCHyRYKhKSycyAyFQ37scRUMWRz5nc5yl1ez/qpv5PWaQgghRD7JNNkUFtFUMBQLBbDryWAov5khIYQQotBJMDSFRTSr+jsUwJUIhuxFpeM5JCGEEGLMSTA0hUUMKjMU8XVg1VQlaqdbWmYIIYSYWiQYmsKihkRmyHssdcxVVDJOoxFCCCHGhwRDU1gyGIp3q2CoR7djNMmaeiGEEFPLhAmGOjs7ueKKK3C73bjdbq644go8Hs+A50ciEf7rv/6LpUuX4nQ6qa2t5corr+To0aNjN+gCF0tMkxl9iWBIy2+TViGEEGIimDDB0OWXX862bdt4+umnefrpp9m2bRtXXHHFgOf7/X62bNnCV7/6VbZs2cLjjz/O7t27ueiii8Zw1IUtbrQBYA22ARAwSDAkhBBi6pkQcyI7duzg6aefZuPGjaxduxaA++67j/Xr17Nr1y4WLlzY5zFut5tnnnkm49gPf/hDTj75ZBoaGpgxY8aYjL2QxRLBkCPSAUDQKM1UhRBCTD0TIjO0YcMG3G53KhACWLduHW63m1deeSXr63R1daFpGiUlJaMwyolHT/QNK46qYChskmBICCHE1DMhMkPNzc1UVVX1OV5VVUVzc3NW1wgGg3zpS1/i8ssvp7h44CrLoVCIUCiU+trr9eY+4AlCN9kBKNM9oEHELJ3lhRBCTD3jmhm69dZb+f/t3XtYVHX+B/D3DAKiCIYieEHwnhsIqOBq+uvRNMnbpluK24NKrWZWa23Zbra3atN2KyvbLWvLzTW7mFt22egmYKlZWXnDtnRNkhVUDLnqwMx8fn+4UhNmjn5nzgfO+/U8PA9zhnn7nnMOh48zc2YcDsdpv7Zs2QIAcDgcTW4vIqdc/l0NDQ3Izs6G1+vFI488ctqfXbx4ceOLtKOjo5GQkHB2d64ZkFYnniYLdXgAAJ4wfrI8ERHZj6WPDF1//fXIzs4+7c8kJSVh+/btOHjwYJPrDh8+jLi4uNPevqGhAVOnTsWXX36J/Pz80z4qBAC33XYbfvnLXzZerqqqarkDUatwn4veMD4yRERE9mPpMNSxY0d07NjxB39u6NChqKysxIcffojMzEwAwAcffIDKykoMGzbse293chDavXs3CgoK0KHDD7+7cnh4OMLDw3/w51oCR2iE7+XW/FwyIiKyn2bxAur+/fsjKysLs2fPxubNm7F582bMnj0bEyZM8DmT7Pzzz8dLL70EAHC73bj88suxZcsWrFq1Ch6PB2VlZSgrK0N9fb1Vd0WVJsNQBIchIiKyn2YxDAHAqlWrkJKSgksuuQSXXHIJBgwYgJUrV/r8zOeff47KykoAQElJCV555RWUlJQgLS0NnTt3bvzy5wy0lswZ2trncqs27a0pQkREZKFmcTYZAMTExODpp58+7c+ISOP3SUlJPpepKUeY7yNDoRyGiIjIhprNI0NkXkhYG5/LYZHtrSlCRERkIQ5DNhbynafJItrFWNSEiIjIOhyGbCwk3PeRoTZRHIaIiMh+OAzZWKsw30eGIqN/+K0HiIiIWhoOQzYW2vqbT6lvkBC0juCn1hMRkf1wGLKx0NbfPE1W42gLh5O7AxER2Q//+tlYaPg3p9bXOtqc5ieJiIhaLg5DNhb+rafJjjv5FBkREdkThyEbC4/45tGg4634Ia1ERGRPHIZs7NuPDDW0irSwCRERkXU4DNlYSKtWqJcQAEBDaJTFbYiIiKzBYcjmXAgDAHjD+DQZERHZE4chm6t3nBiGJJyPDBERkT1xGLK5+v89MuSIiLa4CRERkTU4DNlcvTMcAODkMERERDbFYcjm3P97miy0DYchIiKyJw5DNncocQKKnd3QPe1iq6sQERFZwiEiYnUJzaqqqhAdHY3KykpERfFFxkRERM2BP3+/+cgQERER2RqHISIiIrI1DkNERERkaxyGiIiIyNY4DBEREZGtcRgiIiIiW+MwRERERLbGYYiIiIhsjcMQERER2RqHISIiIrI1DkNERERkaxyGiIiIyNY4DBEREZGtcRgiIiIiW2tldQHtRAQAUFVVZXETIiIiOlMn/26f/Dt+OhyGfkB1dTUAICEhweImRERE5K/q6mpER0ef9mccciYjk415vV4cOHAA7dq1g8PhMJpdVVWFhIQE7N+/H1FRUZbnaM3S2ElrlsZOJrM0dtKapbGTySyNnUxmaeykOetURATV1dXo0qULnM7TvyqIjwz9AKfTiW7dugX034iKijKyI5jK0ZqlsZPWLI2dTGZp7KQ1S2Mnk1kaO5nM0thJc9Z3/dAjQifxBdRERERkaxyGiIiIyNY4DFkoPDwcv//97xEeHq4iR2uWxk5aszR2MpmlsZPWLI2dTGZp7GQyS2MnzVnnii+gJiIiIlvjI0NERERkaxyGiIiIyNY4DBEREZGtcRgiIiIiW+MwRERERLbGYchCRUVFRnK8Xi+Ki4vhdrtVZZmisZM2Ho8HJSUlKCkpgcfjMZarcR81xev14quvvjqn9RWo9U7fr6KiAlu3bkVRURGOHz9+TlncfsFncvsZJRQUtbW1Tb6SkpKkrq5Oamtr/crKy8uTTp06yaBBg2THjh3St29fiY2NlY4dO0pBQYFlWRUVFTJnzhwZM2aMPPzwwz7XTZkypVl3EhHp0KGD/OIXv5Bt27b5dTt/jBw50q+fLysrk+nTp0tERITExcVJbGysREREyPTp0+XAgQN+ZWncR01uv9tuu03KyspEROTTTz+Vbt26SadOnSQuLk42btzoV5ap9V5cXCxTpkyRK664QkpLS2XevHnSrl07GT58uOzbt8+vTsHYP0X830c3bNjQ+H1tba3MmzdPBgwYIDNnzpSKioozztm/f7+MHz9enE6nOJ1OOe+88yQiIkIWLFgg9fX1fnUy+Xtjahty+1mLw1CQOBwOcTqd4nA4mnw5nU6/sgYOHCgbNmyQV199VeLi4uTVV18VEZFNmzZJRkaGZVnTpk2TBQsWyJo1a2TkyJEyZcoUcbvdIiKSlpbWrDuJiCQlJcn1118vMTExMnjwYHn00UelsrLSrwyRUw8dJ7+6devmV9bo0aPlvvvuk+rq6sZl1dXVcu+998qoUaP8ytK4j5rcfj/60Y8avx87dqy8+eabIiLy0UcfyZAhQ/zKMrXeL730UnnwwQflzjvvlJSUFPnjH/8oZWVl8sADD8jkyZP96mRq/xQxu4+mp6c3fn/zzTdLTk6OvP/++3LjjTfKjBkzzjhn9OjRsmLFCjly5IgsWbJE7rrrLikrK5OZM2fK/Pnz/epk8vfG1Dbk9rMWh6Egyc3NlauvvlqqqqoalyUlJZ1V1rf/CHw3w98/ECazUlNTG7/3eDwyZ84cmTBhgtTX1/uVpbGTyDcHBZfLJc8884yMGTNGIiMjJScnR9avX3/GOacaOk5e9nfo6Nev31lddyoa91GT269Pnz6N3w8cOPB7/50zYWq9n/x3vV6vxMXF+Vw3YMAAvzqZ2j9FzO6j395OaWlpUldXJyIntmdycvIZ56SkpPhcPjnAut1un217Jkz+3pjahtx+1uJrhoJk+fLluOyyy3DxxRcjLy8PAOBwOM4qy+v14tChQ9izZw+OHDmCPXv2AAAOHz6M+vp6y7JcLlfj906nE4899hh69OiByy67zK8sjZ2+LSwsDNOnT8dbb72FoqIi9OzZE7NmzTrj23fu3BkHDx6E1+tt/PJ4PPB6vejSpYtfXSIiIvDee+81Wf7uu++idevWfmVp3EdNbr/MzEw88MADAIDBgwfj3XffBQDs2LHD748DMLXeT65fh8OBlJSUU17nr3PdPwGz+6iI4NixY6irq0NoaCgiIiIAnNierVq1OuMcp9OJ8vJyAMDevXvhdJ748xUSEoLQ0FC/Opn8vTG9Dbn9LGL1NGY35eXlkp2dLTNnzpSEhISzyli5cqVERUVJVFSUrFq1Si688EIZP368dO7cWZYuXWpZ1tixY0/52osbbrjBr/+NaOwk4v+jUt/n8ssvl3Xr1p3yukmTJvmVtXnzZundu7ckJyfL+PHjZcKECXLBBRdI7969ZfPmzWfVT9M+anL7VVRUyOTJkyUpKUmGDx8uISEhkpiYKCkpKfLxxx/7lWVqvQ8ZMkRqamqaLP/666+bPHr1Q0ztnyJm99HvPiqxf/9+ERGpq6vz65GTf/zjH9KlSxcZP368xMfHy0svvSQiIqWlpZKVleVXJ5O/N6a2IbeftfjZZBZ54YUXUFhYiL/+9a9ndfuKigp4vV506NAB1dXVeOutt9CzZ0+kp6dbllVaWoqQkBB06tSpyXWbNm3CsGHDmnWnzz77DP379/fr3w+WLVu24KuvvgIAdO/eHYMGDTrrRxZOWrNmDQoKCizdR01uv5P27NmDzz77DA0NDUhMTMSgQYP8zjjpXNd7XV0dIiIimtzm0KFDKCkpwcCBA884S/P+eSpHjx7Fv//9b/z4xz8+49t8/vnn2LlzJ9LS0tCrV69z7mDi98bUNuT2sxaHISIiIrI1vmYoSOrq6rBw4UL06NED4eHhCA8PR8+ePbFw4ULU1NQY+3dmzpxpWa+Ghgbcc889mDNnDl577TWf62644YZm3clkL5OdTsfffaGlryuN+5XW40JlZSVuueUW3HrrraipqcG9996L1NRU5OTkoKKiwpJeJvcFrfvV97HyuG6qV7COe2eLw1CQzJw5E9XV1Xj99ddx9OhRHD16FK+99hqqq6v93tFPp6CgwLJeN9xwA7Zu3Yp+/fphwYIFuOmmmxqv27hxY7PuZLKXyU6n4+++0NLXlcb9SutxYc6cOfB4PKioqMCkSZOwd+9ePP744+jUqZPPfQ1mL5P7gtb96vtYeVw31StYx72zZu1LluzjdKcO+ntaYWxs7Cm/OnbsKK1atbKs14ABA8Tr9YqISE1NjUyYMEGuueYaEfHvxYEaO5nsZbKTyX2hpa8rjfuV1uPCydOg3W63xMTESENDg4icOJ36u6dIB6uXyX1B436l9biucfsFwpmfF0fnJCQkBLt370afPn18ln/xxRcICQnxK0tEsG7dOkRHRzdZfuGFF1rWq6GhofFFhG3btsVLL72EqVOnYvbs2c2+k8leJjuZ3Bda+rrSuF9pPS6cPGU6JCQE3bt3b7zsdDobT4kOdi+T+4LG/UrrcV3j9gsEDkNBcu+992LEiBHIyMhAYmIiHA4HvvzyS2zZsgVPPPGEX1mDBg3CkSNHMGDAgCbXxcfHW9YrNjYWO3fuRHJyMoATB9TVq1dj2rRp2L59e7PuZLKXyU4m94WWvq407ldajwtOpxMulwvh4eH48MMPG5fX1dVB/DznxlQvk/uCxv1K63Fd4/YLBJ5NFkS1tbXIy8vzOZUzKysLkZGRfueEhoYiLCxMVa+dO3eidevW6N27t89yj8eD559/Hj/72c+adSdTvUyvJ1P7QktfV6Y6me6l8biwb98+dO3atcmb4e3fvx87d+7EpZdeGvReJte5xv1K63Fd4/YLCAuemqP/2blzJ7OCnKM1S2MnrVkaO5nM0thJa5bGTiazNHYymWWy07niMGShb38AHrOCk6M1S2MnrVkaO5nM0thJa5bGTiazNHYymWWy07niqfUWEoPPULb0LI2dTGZp7KQ1S2Mnk1kaO2nN0tjJZJbGTiazTHY6VxyGLPR///d/zApyjtYsjZ20ZmnsZDJLYyetWRo7mczS2MlklslO54ovoCYiIiJb4yNDCtx+++2WZj333HNYtGgRtm7d6rN88eLFlmQ1NDTgL3/5Cx555BG43W6sXr0aP/nJT/Db3/4W9fX1fvUxmXUqKSkp55xxLjkul8vn8po1azB//nw89dRTlmatXbsWR44cAQCUl5dj2rRp6NmzJyZPnowDBw4EPQcALr/8cqxduxYej8ev2wUya+/evcjOzsYtt9yCuro65ObmokePHpg4cWLjWUDNPcvtduO+++5DWloa2rdvj9jYWFx00UV4/fXXLckBAK/Xi7/97W8YNWoUevfujd69e2PUqFF4/PHHjewfJ5k6treE47rpTqbxkSEFunfv7vcBxlTWb37zG6xfvx5paWlYs2YNfv3rX2P+/PkAgIEDB+KTTz4Jeta1116LQ4cO4dixY4iOjobL5cK0adPw4osvIj4+Hg899NAZdzKZlZmZ2WTZ9u3bG99/49vvxxKMHMB3vT766KNYtmwZpk+fjtdeew1jx47Fb3/7W0uy+vfvj6KiIjidTsyaNQvdunXDlVdeiby8POTn5zf5bKJA5wAn3uekc+fOOHToEHJycnD11Vfj/PPPP+PbByLr4osvxqhRo1BVVYX8/HyMGjUKM2fOxCuvvIL169cjLy+v2WfNnj0bIoJx48bhueeeQ3JyMvr164d77rkH8+bNO+M33TOVAwBz585FaWkp5s6di6SkJIgIiouLsWzZMsTHx+Oxxx4746zTMXVsbwnHdZOdAiLwr9EmEZGMjIxTfg0ePFjCw8Mty0pJSRGXyyUiIqWlpZKRkSF33323iPj/FummspKTk0VE5NixY9KuXTupra0VERGXy9V4nRVZ/fv3l5///Oeyfv16KSwslIKCAomPj5fCwkIpLCwMeo6I73rNzMyUkpISERGpqqry+/6ZzOrfv/8pc091ORg53/75Dz74QK655hpp3769DBs2TJ588kmpqamxJGvAgAEiIuL1eqVz584+16WmpvrVSWvWt7ehy+WSESNGiIjI4cOHfa4LVo6ISO/evU+53Ov1Sq9evfzKMnU8bunHdZOdAoHvQB0kX3zxBZ599lm0adPGZ7mIYNq0aZZleb3exjfTio+PxzvvvINLL70UHo+n8a3Tg5118o3eWrdujV69ejXez7CwsMaPBbAi69NPP8Xtt9+OJUuWNP4PMiIiAhdddJElOQB81qvH40HXrl0BAO3atfP7/pnMiouLw/vvv4+hQ4eiW7duKCsrQ3x8PKqrq9HQ0BD0HOCb+5eZmYnMzEw88MADWLNmDZYvX46bbroJlZWVQc/yeDzwer2oq6tDVVUVqqur0a5dO7jd7iZPWzbXrJCQEHg8HoSEhKC+vr7xU9M7duzo10dDmMoBTmy/8vJydOzY0Wd5eXm538c9U8fjln5cN9kpEDgMBUl6ejqio6MxbNiwJtf5+86eJrMiIyOxb98+JCUlAQCioqLw5ptvYuzYsSgqKrIkS0QaD3pr165tXO52u+F2u/3qZDIrPDwc9913H9577z1MnDgR1113nV+3N50DAJ9//jkyMzMhIti9e3fjHy0R8XtYMJm1dOlSTJ48GcOGDUN8fDyGDBmCkSNH4qOPPsJtt90W9Byg6Wm8ERERyMnJQU5ODvbu3WtJ1rhx43DhhRfC5XJhzpw5yM7OxsiRI7Fu3TqMGDHCr05as8aOHYvx48dj9OjRePnllzFlyhQAQGVlpV+/g6ZyAOBXv/oVUlNTMWXKFJ+Pq1i7di3uuOMOv7JMHY9b+nHdZKdA4GuGgqS4uBhRUVE477zzmlxXX1/v185uMqugoAAxMTFITU31WV5bW4uHHnoICxcuDHrW5s2bkZaWhtatW/ss37t3LwoLC3HVVVedcSeTWd9WW1uLBQsWYOPGjdi2bdtZZZjIWb9+vc/lQYMGITIyEmVlZfjnP//p16BlMgsAjh07hmeeeQa7du1CQ0MDEhMTMXXqVCQkJFiSs3LlSuTk5Ph1m2BkvfLKKwCAiRMn4uOPP8aKFSvQs2dPXHfddX7/EdSYJSJ48sknsW3bNmRkZGDGjBkATrxgv7KyEp06dQpqzkn79u3DmjVrfD6u4qc//Sl69OjhV46p43FLP66b7BQIHIaIiIjI1vg0WRC9/fbbePbZZ33+J5KdnY1LLrmEWc2gk8ksjZ20ZmnsZDLrVDnTp0/HmDFjjHTSmmX1vvB9li1bhrlz56rK0tjJZJbJTmeLjwwFye9+9zvk5eXhqquu8jmVc/ny5cjKysJdd93FLMWdeP+4rnj/Ws66Oh0r3+ok0Dlas0x2OlschoKkT58+KCoqavK8r8vlwgUXXIA9e/YwS3Enk1kaO2nN0tjJZJbGTlqzTHaaOnXqKZeLCPLy8hrPVAtmlsZOJrNMdgoEPk0WJCICr9fbZLnX6/X7w+paepbGTiazNHbSmqWxk8ksjZ20Zpns9K9//QsPPvhgk8FKRFBQUGBJlsZOJrNMdgoEDkNBMmvWLGRkZGDWrFmNp3Lu27cPK1asQG5uLrOUd+L947ri/Ws56yotLQ3p6ekYPHhwk+v8ead1k1kaO5nMMtkpEPg0WRC9++67WL16tc+L/6644oqzerO9lp6lsZPJLI2dtGZp7GQyS2MnrVmmcrZs2YIuXbqgS5cuTa7bu3cvevbsGfQsjZ1MZpnsFAgchoiIiMjW+Kn1Fho6dCizgpyjNUtjJ61ZGjuZzNLYSWuWxk4mszR2MpllstO54jBkoePHjzMryDlaszR20pqlsZPJLI2dtGZp7GQyS2Mnk1kmO50rDkMW+u4H8jEr8DlaszR20pqlsZPJLI2dtGZp7GQyS2Mnk1kmO50rvmaIiIiIbI2PDAXR/v37sWnTJrhcLp/lb7/9NrOaQSeTWRo7ac3S2MlklsZOWrM0djKZpbGTySyTnYwTCornn39eYmNjJTk5Wbp16yabNm1qvC49PZ1ZyjuZzNLYSWuWxk4mszR20pqlsZPJLI2dTGaZ7BQIHIaCJD09Xfbv3y8iIm+//bYkJCTIunXrREQkLS2NWco7mczS2ElrlsZOJrM0dtKapbGTySyNnUxmmewUCByGgiQ1NdXn8vbt2yUpKUneeustv6filp6lsZPJLI2dtGZp7GQyS2MnrVkaO5nM0tjJZJbJToHAYShIkpOTpaqqymdZUVGRJCUlSUxMDLOUdzKZpbGT1iyNnUxmaeykNUtjJ5NZGjuZzDLZKRA4DAXJ0qVLJT8/v8nyXbt2yZgxY5ilvJPJLI2dtGZp7GQyS2MnrVkaO5nM0tjJZJbJToHAU+uJiIjI1nhqfRDV19fjwIEDTZYXFRUxqxl0MpmlsZPWLI2dTGZp7KQ1S2Mnk1kaO5nMMtnJOKsfmrKL/Px8Oe+88yQ6OloGDhwou3fvbrzO3xePtfQsjZ1MZmnspDVLYyeTWRo7ac3S2MlklsZOJrNMdgoEDkNBMmTIENm2bZt4vV554oknJDExUXbs2CEi/p9W2NKzNHYymaWxk9YsjZ1MZmnspDVLYyeTWRo7mcwy2SkQOAwFyXc39jvvvCOJiYmydetWv6filp6lsZPJLI2dtGZp7GQyS2MnrVkaO5nM0tjJZJbJToHAYShI+vfvL8ePH/dZVlhYKN27d5f4+HhmKe9kMktjJ61ZGjuZzNLYSWuWxk4mszR2MpllslMg8AXUQTJ58mQUFhb6LLvooouwcuVKtGvXjlnKO5nM0thJa5bGTiazNHbSmqWxk8ksjZ1MZpnsFAg8tZ6IiIhsrZXVBezE6/Viw4YN+OqrrwAA3bt3x/Dhw+F0+v8AXUvP0tjJZJbGTlqzNHYymaWxk9YsjZ1MZmnsZDLLZCfTOAwFycaNG3HllVciPj4eiYmJEBEUFxfj4MGDePrppzF8+HBmKe7E+8d1xfvHdcX7p+P+BUSQXptkeykpKfLRRx81Wf7hhx9KcnIys5R3MpmlsZPWLI2dTGZp7KQ1S2Mnk1kaO5nMMtkpEDgMBUmfPn3O6jo7ZmnsZDJLYyetWRo7mczS2ElrlsZOJrM0djKZZbJTIFj/RJ1N9OrVC3feeSeOHDnSuOzIkSO444470KNHD2Yp72QyS2MnrVkaO5nM0thJa5bGTiazNHYymWWyU0BYPY3ZxaFDhyQ3N1ciIyOlbdu2EhkZKZGRkZKbmysHDx5klvJOvH9cV7x/XFe8fzruXyDw1HoLfP311wCAmJgYZjXDTiazNHbSmqWxk8ksjZ20ZmnsZDJLYyeTWSY7mcKnyYKkuLgYY8eORd++fbFo0SK0adOm8bqhQ4cyS3knk1kaO2nN0tjJZJbGTlqzNHYymaWxk8ksk50CgcNQkFx77bWYNGkSnn32WRw+fBgXX3wxqqurAQDHjx9nlvJOJrM0dtKapbGTySyNnbRmaexkMktjJ5NZJjsFhNXP09nFdz+I7u6775aMjAw5evSo3x9S19KzNHYymaWxk9YsjZ1MZmnspDVLYyeTWRo7mcwy2SkQ+KaLQVJXV+dzeeHChQgLC/OZjpmlt5PJLI2dtGZp7GQyS2MnrVkaO5nM0tjJZJbJTgFh9TRmF5dddpnk5eU1WX7//feLw+FglvJOJrM0dtKapbGTySyNnbRmaexkMktjJ5NZJjsFAs8mCxKXywUACA8Pb3Ldf//7X3Tt2pVZijuZzNLYSWuWxk4mszR20pqlsZPJLI2dTGaZ7BQIHIaIiIjI1ng2GREREdkahyEiIiKyNQ5DREREZGschoiIiMjWOAwRUbM3a9YsOBwOOBwOhIaGIi4uDmPGjMHy5cvh9XrPOOepp55C+/btA1eUiFTiMERELUJWVhZKS0uxb98+5OXlYeTIkZg/fz4mTJgAt9ttdT0iUozDEBG1COHh4YiPj0fXrl0xcOBALFy4EC+//DLy8vLw1FNPAQCWLFmClJQUtG3bFgkJCZg3bx5qamoAAIWFhcjNzUVlZWXjo0x/+MMfAAD19fW49dZb0bVrV7Rt2xZDhgxBYWGhNXeUiIzjMERELdaoUaOQmpqKF198EQDgdDqxdOlS7Ny5EytWrEB+fj5uvfVWAMCwYcPw4IMPIioqCqWlpSgtLcUtt9wCAMjNzcXGjRvx3HPPYfv27bjiiiuQlZWF3bt3W3bfiMgcvukiETV7s2bNwtGjR7F27dom12VnZ2P79u3YtWtXk+teeOEFXHvttSgvLwdw4jVDN954I44ePdr4M//5z3/Qp08flJSUoEuXLo3LR48ejczMTCxatMj4/SGi4OIHtRJRiyYicDgcAICCggIsWrQIu3btQlVVFdxuN44fP47a2lq0bdv2lLf/5JNPICLo27evz3KXy4UOHToEvD8RBR6HISJq0T777DP06NEDxcXFGDduHObOnYu77roLMTEx2LBhA66++mo0NDR87+29Xi9CQkLw8ccfIyQkxOe6yMjIQNcnoiDgMERELVZ+fj527NiBm266CVu2bIHb7cb9998Pp/PEyyVXr17t8/NhYWHweDw+y9LT0+HxeHDo0CGMGDEiaN2JKHg4DBFRi+ByuVBWVgaPx4ODBw/ijTfewOLFizFhwgTMmDEDO3bsgNvtxsMPP4yJEydi48aNWLZsmU9GUlISampqsG7dOqSmpqJNmzbo27cvrrzySsyYMQP3338/0tPTUV5ejvz8fKSkpGDcuHEW3WMiMoVnkxFRi/DGG2+gc+fOSEpKQlZWFgoKCrB06VK8/PLLCAkJQVpaGpYsWYI//elPSE5OxqpVq7B48WKfjGHDhmHu3LmYNm0aYmNj8ec//xkA8Pe//x0zZszAzTffjH79+mHSpEn44IMPkJCQYMVdJSLDeDYZERER2RofGSIiIiJb4zBEREREtsZhiIiIiGyNwxARERHZGochIiIisjUOQ0RERGRrHIaIiIjI1jgMERERka1xGCIiIiJb4zBEREREtsZhiIiIiGyNwxARERHZ2v8Dq9ismPWEfxQAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(-2.8725021914805806, 0.04864033297048336, 0, 241, {'1%': -3.4577787098622674, '5%': -2.873608704758507, '10%': -2.573201765981991}, -868.7248189359461)\n"
     ]
    }
   ],
   "source": [
    "import statsmodels.api as sm\n",
    "model = sm.OLS(df[\"ctgs\"], df[\"fjgs\"])\n",
    "res= model.fit()\n",
    "print(res.params[0])\n",
    "print(res.summary())\n",
    "df[\"res\"] = df[\"ctgs\"] - res.params[0] *df[\"fjgs\"]\n",
    "#print(df[\"res\"])\n",
    "plot_residuals(df)\n",
    "cadf = ts.adfuller(df[\"res\"])\n",
    "print(cadf)"
   ]
  }
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